36404400440400 has 60 divisors (see below), whose sum is σ = 116615429414592. Its totient is φ = 9707840117120.

The previous prime is 36404400440327. The next prime is 36404400440491. The reversal of 36404400440400 is 404400440463.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15168498984 + ... + 15168501383.

Almost surely, 2^{36404400440400} is an apocalyptic number.

36404400440400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36404400440400 is an abundant number, since it is smaller than the sum of its proper divisors (80211028974192).

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

36404400440400 is a wasteful number, since it uses less digits than its factorization.

36404400440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30337000388 (or 30337000377 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 36404400440400 its reverse (404400440463), we get a palindrome (36808800880863).

The spelling of 36404400440400 in words is "thirty-six trillion, four hundred four billion, four hundred million, four hundred forty thousand, four hundred".