4037934481056 has 720 divisors, whose sum is σ = 14606869384800. Its totient is φ = 1088053005312.

The previous prime is 4037934481027. The next prime is 4037934481103. The reversal of 4037934481056 is 6501844397304.

4037934481056 is a `hidden beast` number, since 4 + 0 + 3 + 7 + 93 + 448 + 105 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4037934480993 and 4037934481011.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 552608155 + ... + 552615461.

It is an arithmetic number, because the mean of its divisors is an integer number (20287318590).

Almost surely, 2^{4037934481056} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4037934481056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7303434692400).

4037934481056 is an abundant number, since it is smaller than the sum of its proper divisors (10568934903744).

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

4037934481056 is a wasteful number, since it uses less digits than its factorization.

4037934481056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7591 (or 7567 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 4037934481056 in words is "four trillion, thirty-seven billion, nine hundred thirty-four million, four hundred eighty-one thousand, fifty-six".