100409388240 has 160 divisors (see below), whose sum is σ = 356293195776. Its totient is φ = 22914777600.

The previous prime is 100409388203. The next prime is 100409388253. The reversal of 100409388240 is 42883904001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1033765 + ... + 1126715.

Almost surely, 2^100409388240 is an apocalyptic number.

100409388240 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 100409388240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178146597888).

100409388240 is an abundant number, since it is smaller than the sum of its proper divisors (255883807536).

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

100409388240 is a wasteful number, since it uses less digits than its factorization.

100409388240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93617 (or 93611 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

It can be divided in two parts, 10040 and 9388240, that added together give a triangular number (9398280 = T₄₃₃₅).

The spelling of 100409388240 in words is "one hundred billion, four hundred nine million, three hundred eighty-eight thousand, two hundred forty".