4038005446992 has 640 divisors, whose sum is σ = 13693909248000. Its totient is φ = 1125576990720.

The previous prime is 4038005446919. The next prime is 4038005446999. The reversal of 4038005446992 is 2996445008304.

4038005446992 is a `hidden beast` number, since 4 + 0 + 3 + 8 + 0 + 0 + 544 + 6 + 9 + 92 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4038005446999) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 853157458 + ... + 853162190.

It is an arithmetic number, because the mean of its divisors is an integer number (21396733200).

Almost surely, 2^{4038005446992} 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 4038005446992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6846954624000).

4038005446992 is an abundant number, since it is smaller than the sum of its proper divisors (9655903801008).

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

4038005446992 is a wasteful number, since it uses less digits than its factorization.

4038005446992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5016 (or 5004 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 4038005446992 in words is "four trillion, thirty-eight billion, five million, four hundred forty-six thousand, nine hundred ninety-two".