104014732640 has 384 divisors, whose sum is σ = 317060739072. Its totient is φ = 31341404160.

The previous prime is 104014732621. The next prime is 104014732643. The reversal of 104014732640 is 46237410401.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 104014732597 and 104014732606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104014732643) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 88072850 + ... + 88074030.

It is an arithmetic number, because the mean of its divisors is an integer number (825679008).

Almost surely, 2^104014732640 is an apocalyptic number.

104014732640 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 104014732640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158530369536).

104014732640 is an abundant number, since it is smaller than the sum of its proper divisors (213046006432).

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

104014732640 is a wasteful number, since it uses less digits than its factorization.

104014732640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1502 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The spelling of 104014732640 in words is "one hundred four billion, fourteen million, seven hundred thirty-two thousand, six hundred forty".