104328407040 has 1152 divisors, whose sum is σ = 421625917440. Its totient is φ = 21799895040.

The previous prime is 104328407021. The next prime is 104328407063. The reversal of 104328407040 is 40704823401.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 104328406992 and 104328407010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 821483457 + ... + 821483583.

It is an arithmetic number, because the mean of its divisors is an integer number (365994720).

Almost surely, 2^104328407040 is an apocalyptic number.

104328407040 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 104328407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210812958720).

104328407040 is an abundant number, since it is smaller than the sum of its proper divisors (317297510400).

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

104328407040 is a wasteful number, since it uses less digits than its factorization.

104328407040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The spelling of 104328407040 in words is "one hundred four billion, three hundred twenty-eight million, four hundred seven thousand, forty".