109440034800 has 60 divisors (see below), whose sum is σ = 350572915320. Its totient is φ = 29184008960.

The previous prime is 109440034799. The next prime is 109440034817. The reversal of 109440034800 is 8430044901.

It is a happy number.

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

It is a super-2 number, since 2×109440034800² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 45598815 + ... + 45601214.

It is an arithmetic number, because the mean of its divisors is an integer number (5842881922).

Almost surely, 2^109440034800 is an apocalyptic number.

109440034800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

109440034800 is an abundant number, since it is smaller than the sum of its proper divisors (241132880520).

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

109440034800 is a wasteful number, since it uses less digits than its factorization.

109440034800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91200050 (or 91200039 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 109440034800 in words is "one hundred nine billion, four hundred forty million, thirty-four thousand, eight hundred".