1032412492800 has 792 divisors, whose sum is σ = 4109658076160. Its totient is φ = 245912371200.

The previous prime is 1032412492757. The next prime is 1032412492861. The reversal of 1032412492800 is 82942142301.

1032412492800 is a `hidden beast` number, since 1 + 0 + 324 + 12 + 49 + 280 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 92845641 + ... + 92856759.

Almost surely, 2^{1032412492800} is an apocalyptic number.

1032412492800 is a gapful number since it is divisible by the number (10) 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 1032412492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2054829038080).

1032412492800 is an abundant number, since it is smaller than the sum of its proper divisors (3077245583360).

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

1032412492800 is a wasteful number, since it uses less digits than its factorization.

1032412492800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11199 (or 11173 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 1032412492800 in words is "one trillion, thirty-two billion, four hundred twelve million, four hundred ninety-two thousand, eight hundred".