107409745440 has 480 divisors, whose sum is σ = 408217138560. Its totient is φ = 26497622016.

The previous prime is 107409745393. The next prime is 107409745501. The reversal of 107409745440 is 44547904701.

107409745440 is a `hidden beast` number, since 1 + 0 + 74 + 0 + 97 + 454 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12994749 + ... + 13003011.

It is an arithmetic number, because the mean of its divisors is an integer number (850452372).

Almost surely, 2^107409745440 is an apocalyptic number.

107409745440 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 107409745440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204108569280).

107409745440 is an abundant number, since it is smaller than the sum of its proper divisors (300807393120).

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

107409745440 is a wasteful number, since it uses less digits than its factorization.

107409745440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8366 (or 8349 counting only the distinct ones).

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

The spelling of 107409745440 in words is "one hundred seven billion, four hundred nine million, seven hundred forty-five thousand, four hundred forty".