4036987793328 has 640 divisors, whose sum is σ = 12897460224000. Its totient is φ = 1063453224960.

The previous prime is 4036987793327. The next prime is 4036987793389. The reversal of 4036987793328 is 8233977896304.

It is not an unprimeable number, because it can be changed into a prime (4036987793327) 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, 10651682643 + ... + 10651683021.

It is an arithmetic number, because the mean of its divisors is an integer number (20152281600).

Almost surely, 2^{4036987793328} is an apocalyptic number.

4036987793328 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 4036987793328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6448730112000).

4036987793328 is an abundant number, since it is smaller than the sum of its proper divisors (8860472430672).

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

4036987793328 is a wasteful number, since it uses less digits than its factorization.

4036987793328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 69.

The spelling of 4036987793328 in words is "four trillion, thirty-six billion, nine hundred eighty-seven million, seven hundred ninety-three thousand, three hundred twenty-eight".