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4021152000000 = 21135641887
BaseRepresentation
bin111010100000111111010…
…101100010100000000000
3112020102021222220122002120
4322200333111202200000
51011340304403000000
612315143002444240
7563342616020442
oct72407725424000
915212258818076
104021152000000
1113103a7522303
1254b3ab803680
1323226805c875
14dc8a661c492
156e8ece2e6a0
hex3a83f562800

4021152000000 has 336 divisors, whose sum is σ = 13400715968640. Its totient is φ = 1072281600000.

The previous prime is 4021151999999. The next prime is 4021152000001. The reversal of 4021152000000 is 2511204.

It is an interprime number because it is at equal distance from previous prime (4021151999999) and next prime (4021152000001).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (4021152000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 95979057 + ... + 96020943.

It is an arithmetic number, because the mean of its divisors is an integer number (39883083240).

Almost surely, 24021152000000 is an apocalyptic number.

4021152000000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4021152000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6700357984320).

4021152000000 is an abundant number, since it is smaller than the sum of its proper divisors (9379563968640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4021152000000 is an frugal number, since it uses more digits than its factorization.

4021152000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41942 (or 41897 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 4021152000000 its reverse (2511204), we get a palindrome (4021154511204).

The spelling of 4021152000000 in words is "four trillion, twenty-one billion, one hundred fifty-two million", and thus it is an aban number.