104586180431040 has 1344 divisors, whose sum is σ = 487333052743680. Its totient is φ = 19924227072000.

The previous prime is 104586180431023. The next prime is 104586180431063. The reversal of 104586180431040 is 40134081685401.

104586180431040 is a `hidden beast` number, since 1 + 0 + 4 + 586 + 18 + 0 + 4 + 3 + 10 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 130216285 + ... + 131016995.

Almost surely, 2^{104586180431040} is an apocalyptic number.

104586180431040 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 104586180431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243666526371840).

104586180431040 is an abundant number, since it is smaller than the sum of its proper divisors (382746872312640).

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

104586180431040 is a wasteful number, since it uses less digits than its factorization.

104586180431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800802 (or 800789 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 104586180431040 in words is "one hundred four trillion, five hundred eighty-six billion, one hundred eighty million, four hundred thirty-one thousand, forty".