2136431246400 has 420 divisors, whose sum is σ = 8566897196880. Its totient is φ = 517922380800.

The previous prime is 2136431246393. The next prime is 2136431246489. The reversal of 2136431246400 is 46421346312.

2136431246400 is a `hidden beast` number, since 2 + 1 + 3 + 6 + 4 + 3 + 1 + 2 + 4 + 640 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 676291 + ... + 2174909.

Almost surely, 2^{2136431246400} is an apocalyptic number.

2136431246400 is a gapful number since it is divisible by the number (20) 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 2136431246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4283448598440).

2136431246400 is an abundant number, since it is smaller than the sum of its proper divisors (6430465950480).

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

2136431246400 is a wasteful number, since it uses less digits than its factorization.

2136431246400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498664 (or 1498640 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 2136431246400 in words is "two trillion, one hundred thirty-six billion, four hundred thirty-one million, two hundred forty-six thousand, four hundred".