36404377221744 has 800 divisors, whose sum is σ = 128657192238080. Its totient is φ = 9706272436224.

The previous prime is 36404377221727. The next prime is 36404377221769. The reversal of 36404377221744 is 44712277340463.

36404377221744 is a `hidden beast` number, since 3 + 6 + 4 + 0 + 4 + 377 + 221 + 7 + 44 = 666.

It is a super-2 number, since 2×36404377221744² (a number of 28 digits) contains 22 as substring.

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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 13753069029 + ... + 13753071675.

Almost surely, 2^{36404377221744} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36404377221744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64328596119040).

36404377221744 is an abundant number, since it is smaller than the sum of its proper divisors (92252815016336).

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

36404377221744 is a wasteful number, since it uses less digits than its factorization.

36404377221744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3859 (or 3844 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 54.

The spelling of 36404377221744 in words is "thirty-six trillion, four hundred four billion, three hundred seventy-seven million, two hundred twenty-one thousand, seven hundred forty-four".