4011420242000 has 80 divisors (see below), whose sum is σ = 9703473867984. Its totient is φ = 1603929600000.

The previous prime is 4011420241993. The next prime is 4011420242023. The reversal of 4011420242000 is 2420241104.

4011420242000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2825438257216 + 1185981984784 = 1680904^2 + 1089028^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4644200 + ... + 5439800.

Almost surely, 2^{4011420242000} is an apocalyptic number.

4011420242000 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 4011420242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4851736933992).

4011420242000 is an abundant number, since it is smaller than the sum of its proper divisors (5692053625984).

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

4011420242000 is a wasteful number, since it uses less digits than its factorization.

4011420242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798145 (or 798129 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 4011420242000 its reverse (2420241104), we get a palindrome (4013840483104).

The spelling of 4011420242000 in words is "four trillion, eleven billion, four hundred twenty million, two hundred forty-two thousand".