4038479372928 has 512 divisors, whose sum is σ = 14605925806080. Its totient is φ = 954622771200.

The previous prime is 4038479372909. The next prime is 4038479372933. The reversal of 4038479372928 is 8292739748304.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27217276 + ... + 27365252.

It is an arithmetic number, because the mean of its divisors is an integer number (28527198840).

Almost surely, 2^{4038479372928} is an apocalyptic number.

4038479372928 is a gapful number since it is divisible by the number (48) 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 4038479372928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7302962903040).

4038479372928 is an abundant number, since it is smaller than the sum of its proper divisors (10567446433152).

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

4038479372928 is a wasteful number, since it uses less digits than its factorization.

4038479372928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148096 (or 148084 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 66.

The spelling of 4038479372928 in words is "four trillion, thirty-eight billion, four hundred seventy-nine million, three hundred seventy-two thousand, nine hundred twenty-eight".