109721139840 has 512 divisors, whose sum is σ = 420167865600. Its totient is φ = 26899955712.

The previous prime is 109721139823. The next prime is 109721139863. The reversal of 109721139840 is 48931127901.

109721139840 is a `hidden beast` number, since 1 + 0 + 9 + 7 + 211 + 398 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65818687 + ... + 65820353.

Almost surely, 2^109721139840 is an apocalyptic number.

109721139840 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 109721139840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210083932800).

109721139840 is an abundant number, since it is smaller than the sum of its proper divisors (310446725760).

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

109721139840 is a wasteful number, since it uses less digits than its factorization.

109721139840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2001 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 109721139840 in words is "one hundred nine billion, seven hundred twenty-one million, one hundred thirty-nine thousand, eight hundred forty".