36400437164400 has 240 divisors, whose sum is σ = 121730195602176. Its totient is φ = 9280340213760.

The previous prime is 36400437164381. The next prime is 36400437164417. The reversal of 36400437164400 is 446173400463.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

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, 58006719 + ... + 58630881.

Almost surely, 2^{36400437164400} is an apocalyptic number.

36400437164400 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 36400437164400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60865097801088).

36400437164400 is an abundant number, since it is smaller than the sum of its proper divisors (85329758437776).

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

36400437164400 is a wasteful number, since it uses less digits than its factorization.

36400437164400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626320 (or 626309 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 42.

The spelling of 36400437164400 in words is "thirty-six trillion, four hundred billion, four hundred thirty-seven million, one hundred sixty-four thousand, four hundred".