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4077220853640 = 23351119135414567
BaseRepresentation
bin111011010101001101010…
…011001111011110001000
3112102210000112100111211110
4323111031103033132020
51013300122014304030
612401014400530320
7600366222302154
oct73251523173610
915383015314743
104077220853640
111332159973980
1255a2390209a0
1323763222513c
141014a4d62064
15710d04ad1b0
hex3b54d4cf788

4077220853640 has 256 divisors, whose sum is σ = 13420219760640. Its totient is φ = 982749312000.

The previous prime is 4077220853599. The next prime is 4077220853663. The reversal of 4077220853640 is 463580227704.

It is a super-3 number, since 3×40772208536403 (a number of 39 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4077220853640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 892754637 + ... + 892759203.

It is an arithmetic number, because the mean of its divisors is an integer number (52422733440).

Almost surely, 24077220853640 is an apocalyptic number.

4077220853640 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 4077220853640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6710109880320).

4077220853640 is an abundant number, since it is smaller than the sum of its proper divisors (9342998907000).

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

4077220853640 is a wasteful number, since it uses less digits than its factorization.

4077220853640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8324 (or 8320 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 48.

The spelling of 4077220853640 in words is "four trillion, seventy-seven billion, two hundred twenty million, eight hundred fifty-three thousand, six hundred forty".