104009249337840 has 2400 divisors, whose sum is σ = 482179790518272. Its totient is φ = 20269157990400.

The previous prime is 104009249337821. The next prime is 104009249337841. The reversal of 104009249337840 is 48733942900401.

104009249337840 is a `hidden beast` number, since 1 + 0 + 40 + 0 + 9 + 2 + 493 + 3 + 78 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104009249337841) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 28644792825 + ... + 28644796455.

Almost surely, 2^{104009249337840} is an apocalyptic number.

104009249337840 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 104009249337840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241089895259136).

104009249337840 is an abundant number, since it is smaller than the sum of its proper divisors (378170541180432).

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

104009249337840 is a wasteful number, since it uses less digits than its factorization.

104009249337840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4009 (or 3983 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 104009249337840 in words is "one hundred four trillion, nine billion, two hundred forty-nine million, three hundred thirty-seven thousand, eight hundred forty".