107490408480 has 2016 divisors, whose sum is σ = 508080263040. Its totient is φ = 20961607680.

The previous prime is 107490408469. The next prime is 107490408491. The reversal of 107490408480 is 84804094701.

107490408480 is a `hidden beast` number, since 1 + 0 + 7 + 490 + 4 + 0 + 84 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (107490408469) and next prime (107490408491).

It is a tau number, because it is divible by the number of its divisors (2016).

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 335 ways as a sum of consecutive naturals, for example, 2621717260 + ... + 2621717300.

It is an arithmetic number, because the mean of its divisors is an integer number (252023940).

Almost surely, 2^107490408480 is an apocalyptic number.

107490408480 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 107490408480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254040131520).

107490408480 is an abundant number, since it is smaller than the sum of its proper divisors (400589854560).

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

107490408480 is a wasteful number, since it uses less digits than its factorization.

107490408480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 107490408480 in words is "one hundred seven billion, four hundred ninety million, four hundred eight thousand, four hundred eighty".