104326736754240 has 2688 divisors, whose sum is σ = 498118068633600. Its totient is φ = 19960453693440.

The previous prime is 104326736754193. The next prime is 104326736754271. The reversal of 104326736754240 is 42457637623401.

104326736754240 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 2 + 67 + 36 + 7 + 542 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 57228049969 + ... + 57228051791.

Almost surely, 2^{104326736754240} is an apocalyptic number.

104326736754240 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 104326736754240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249059034316800).

104326736754240 is an abundant number, since it is smaller than the sum of its proper divisors (393791331879360).

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

104326736754240 is a wasteful number, since it uses less digits than its factorization.

104326736754240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2402 (or 2373 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 54.

The spelling of 104326736754240 in words is "one hundred four trillion, three hundred twenty-six billion, seven hundred thirty-six million, seven hundred fifty-four thousand, two hundred forty".