4155660902400 has 1344 divisors, whose sum is σ = 16784479438848. Its totient is φ = 886529064960.

The previous prime is 4155660902353. The next prime is 4155660902401. The reversal of 4155660902400 is 42090665514.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (4155660902401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4253490712 + ... + 4253491688.

Almost surely, 2^{4155660902400} is an apocalyptic number.

4155660902400 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 4155660902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8392239719424).

4155660902400 is an abundant number, since it is smaller than the sum of its proper divisors (12628818536448).

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

4155660902400 is a wasteful number, since it uses less digits than its factorization.

4155660902400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 4155660902400 in words is "four trillion, one hundred fifty-five billion, six hundred sixty million, nine hundred two thousand, four hundred".