104307540480 has 1280 divisors, whose sum is σ = 444976519680. Its totient is φ = 22826188800.

The previous prime is 104307540479. The next prime is 104307540487. The reversal of 104307540480 is 84045703401.

104307540480 is a `hidden beast` number, since 1 + 0 + 4 + 30 + 7 + 540 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (104307540487) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 602933674 + ... + 602933846.

It is an arithmetic number, because the mean of its divisors is an integer number (347637906).

Almost surely, 2^104307540480 is an apocalyptic number.

104307540480 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 104307540480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222488259840).

104307540480 is an abundant number, since it is smaller than the sum of its proper divisors (340668979200).

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

104307540480 is a wasteful number, since it uses less digits than its factorization.

104307540480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 104307540480 in words is "one hundred four billion, three hundred seven million, five hundred forty thousand, four hundred eighty".