109931237713440 has 1920 divisors, whose sum is σ = 465716557684224. Its totient is φ = 24067031040000.

The previous prime is 109931237713403. The next prime is 109931237713441. The reversal of 109931237713440 is 44317732139901.

It is a happy number.

109931237713440 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 3 + 123 + 7 + 71 + 3 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (109931237713441) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 39387758445 + ... + 39387761235.

Almost surely, 2^{109931237713440} is an apocalyptic number.

109931237713440 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 109931237713440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232858278842112).

109931237713440 is an abundant number, since it is smaller than the sum of its proper divisors (355785319970784).

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

109931237713440 is a wasteful number, since it uses less digits than its factorization.

109931237713440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3296 (or 3279 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 109931237713440 in words is "one hundred nine trillion, nine hundred thirty-one billion, two hundred thirty-seven million, seven hundred thirteen thousand, four hundred forty".