4013237121600 has 1008 divisors, whose sum is σ = 16280962713600. Its totient is φ = 860495892480.

The previous prime is 4013237121577. The next prime is 4013237121623. The reversal of 4013237121600 is 61217323104.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4013237121577) and next prime (4013237121623).

It is a super-2 number, since 2×4013237121600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 460282041 + ... + 460290759.

Almost surely, 2^{4013237121600} is an apocalyptic number.

4013237121600 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 4013237121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8140481356800).

4013237121600 is an abundant number, since it is smaller than the sum of its proper divisors (12267725592000).

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

4013237121600 is a wasteful number, since it uses less digits than its factorization.

4013237121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8880 (or 8858 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 4013237121600 in words is "four trillion, thirteen billion, two hundred thirty-seven million, one hundred twenty-one thousand, six hundred".