36365414400 has 624 divisors, whose sum is σ = 152758873600. Its totient is φ = 8307671040.

The previous prime is 36365414399. The next prime is 36365414429. The reversal of 36365414400 is 441456363.

36365414400 is a `hidden beast` number, since 3 + 636 + 5 + 4 + 14 + 4 + 0 + 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 47 ways as a sum of consecutive naturals, for example, 19352661 + ... + 19354539.

Almost surely, 2^36365414400 is an apocalyptic number.

36365414400 is a gapful number since it is divisible by the number (30) 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 36365414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76379436800).

36365414400 is an abundant number, since it is smaller than the sum of its proper divisors (116393459200).

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

36365414400 is a wasteful number, since it uses less digits than its factorization.

36365414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1929 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 36365414400 in words is "thirty-six billion, three hundred sixty-five million, four hundred fourteen thousand, four hundred".