107428465440 has 144 divisors (see below), whose sum is σ = 385894454400. Its totient is φ = 27139815936.

The previous prime is 107428465429. The next prime is 107428465453. The reversal of 107428465440 is 44564824701.

107428465440 is a `hidden beast` number, since 1 + 0 + 74 + 2 + 84 + 65 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 1935880 + ... + 1990599.

It is an arithmetic number, because the mean of its divisors is an integer number (2679822600).

Almost surely, 2^107428465440 is an apocalyptic number.

107428465440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107428465440 is an abundant number, since it is smaller than the sum of its proper divisors (278465988960).

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

107428465440 is a wasteful number, since it uses less digits than its factorization.

107428465440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3926519 (or 3926508 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 107428465440 in words is "one hundred seven billion, four hundred twenty-eight million, four hundred sixty-five thousand, four hundred forty".