109420193940624 has 480 divisors, whose sum is σ = 370318079459328. Its totient is φ = 29496856320000.

The previous prime is 109420193940539. The next prime is 109420193940647. The reversal of 109420193940624 is 426049391024901.

109420193940624 is a `hidden beast` number, since 1 + 0 + 9 + 4 + 2 + 0 + 1 + 9 + 3 + 9 + 4 + 0 + 624 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1976814549 + ... + 1976869899.

Almost surely, 2^{109420193940624} is an apocalyptic number.

109420193940624 is a gapful number since it is divisible by the number (14) 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 109420193940624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185159039729664).

109420193940624 is an abundant number, since it is smaller than the sum of its proper divisors (260897885518704).

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

109420193940624 is a wasteful number, since it uses less digits than its factorization.

109420193940624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56987 (or 56978 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 109420193940624 in words is "one hundred nine trillion, four hundred twenty billion, one hundred ninety-three million, nine hundred forty thousand, six hundred twenty-four".