4041057665792 has 432 divisors, whose sum is σ = 10231378375680. Its totient is φ = 1582892236800.

The previous prime is 4041057665699. The next prime is 4041057665797. The reversal of 4041057665792 is 2975667501404.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (4041057665797) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 795324692 + ... + 795329772.

It is an arithmetic number, because the mean of its divisors is an integer number (23683746240).

Almost surely, 2^{4041057665792} 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 4041057665792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5115689187840).

4041057665792 is an abundant number, since it is smaller than the sum of its proper divisors (6190320709888).

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

4041057665792 is a wasteful number, since it uses less digits than its factorization.

4041057665792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5248 (or 5227 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 56.

The spelling of 4041057665792 in words is "four trillion, forty-one billion, fifty-seven million, six hundred sixty-five thousand, seven hundred ninety-two".