109697140238400 has 4032 divisors, whose sum is σ = 503895874599936. Its totient is φ = 22221029376000.

The previous prime is 109697140238363. The next prime is 109697140238419. The reversal of 109697140238400 is 4832041796901.

109697140238400 is a `hidden beast` number, since 1 + 0 + 9 + 6 + 97 + 140 + 2 + 3 + 8 + 400 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 100363348254 + ... + 100363349346.

It is an arithmetic number, because the mean of its divisors is an integer number (124974175248).

Almost surely, 2^{109697140238400} is an apocalyptic number.

109697140238400 is a gapful number since it is divisible by the number (10) 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 109697140238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251947937299968).

109697140238400 is an abundant number, since it is smaller than the sum of its proper divisors (394198734361536).

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

109697140238400 is a wasteful number, since it uses less digits than its factorization.

109697140238400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 109697140238400 in words is "one hundred nine trillion, six hundred ninety-seven billion, one hundred forty million, two hundred thirty-eight thousand, four hundred".