4087696443600 has 1440 divisors, whose sum is σ = 17244816261120. Its totient is φ = 817592832000.

The previous prime is 4087696443587. The next prime is 4087696443661. The reversal of 4087696443600 is 63446967804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4792140774 + ... + 4792141626.

It is an arithmetic number, because the mean of its divisors is an integer number (11975566848).

Almost surely, 2^{4087696443600} is an apocalyptic number.

4087696443600 is a gapful number since it is divisible by the number (40) 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 4087696443600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8622408130560).

4087696443600 is an abundant number, since it is smaller than the sum of its proper divisors (13157119817520).

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

4087696443600 is a wasteful number, since it uses less digits than its factorization.

4087696443600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 57.

The spelling of 4087696443600 in words is "four trillion, eighty-seven billion, six hundred ninety-six million, four hundred forty-three thousand, six hundred".