36399297110400 has 2880 divisors, whose sum is σ = 161100999813600. Its totient is φ = 7922412748800.

The previous prime is 36399297110357. The next prime is 36399297110411. The reversal of 36399297110400 is 401179299363.

It is a happy number.

36399297110400 is a `hidden beast` number, since 3 + 6 + 39 + 9 + 2 + 97 + 110 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 333938505546 + ... + 333938505654.

Almost surely, 2^{36399297110400} is an apocalyptic number.

36399297110400 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 36399297110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80550499906800).

36399297110400 is an abundant number, since it is smaller than the sum of its proper divisors (124701702703200).

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

36399297110400 is a wasteful number, since it uses less digits than its factorization.

36399297110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 36399297110400 in words is "thirty-six trillion, three hundred ninety-nine billion, two hundred ninety-seven million, one hundred ten thousand, four hundred".