107974445040 has 960 divisors, whose sum is σ = 478031404032. Its totient is φ = 21996748800.

The previous prime is 107974445023. The next prime is 107974445053. The reversal of 107974445040 is 40544479701.

107974445040 is a `hidden beast` number, since 1 + 0 + 79 + 74 + 4 + 4 + 504 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 79333960 + ... + 79335320.

Almost surely, 2^107974445040 is an apocalyptic number.

107974445040 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 107974445040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239015702016).

107974445040 is an abundant number, since it is smaller than the sum of its proper divisors (370056958992).

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

107974445040 is a wasteful number, since it uses less digits than its factorization.

107974445040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460 (or 1442 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 107974445040 in words is "one hundred seven billion, nine hundred seventy-four million, four hundred forty-five thousand, forty".