36400077144 has 24 divisors (see below), whose sum is σ = 98583542460. Its totient is φ = 12133359024.

The previous prime is 36400077137. The next prime is 36400077157. The reversal of 36400077144 is 44177000463.

It is a happy number.

36400077144 is a `hidden beast` number, since 3 + 640 + 0 + 0 + 7 + 7 + 1 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 36400077099 and 36400077108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 252778242 + ... + 252778385.

Almost surely, 2^36400077144 is an apocalyptic number.

It is an amenable number.

36400077144 is an abundant number, since it is smaller than the sum of its proper divisors (62183465316).

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

36400077144 is a wasteful number, since it uses less digits than its factorization.

36400077144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505556639 (or 505556632 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

It can be divided in two parts, 364000 and 77144, that added together give a palindrome (441144).

The spelling of 36400077144 in words is "thirty-six billion, four hundred million, seventy-seven thousand, one hundred forty-four".