2401532456400 has 360 divisors, whose sum is σ = 10390423702464. Its totient is φ = 499019673600.

The previous prime is 2401532456383. The next prime is 2401532456419. The reversal of 2401532456400 is 46542351042.

2401532456400 is a `hidden beast` number, since 2 + 4 + 0 + 1 + 5 + 3 + 2 + 4 + 5 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4054569 + ... + 4608968.

Almost surely, 2^{2401532456400} is an apocalyptic number.

2401532456400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2401532456400 is an abundant number, since it is smaller than the sum of its proper divisors (7988891246064).

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

2401532456400 is a wasteful number, since it uses less digits than its factorization.

2401532456400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8663579 (or 8663565 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 2401532456400 in words is "two trillion, four hundred one billion, five hundred thirty-two million, four hundred fifty-six thousand, four hundred".