100433639040 has 256 divisors, whose sum is σ = 387387774720. Its totient is φ = 21605842944.

The previous prime is 100433639029. The next prime is 100433639041. The reversal of 100433639040 is 40936334001.

It is a junction number, because it is equal to n+sod(n) for n = 100433638992 and 100433639010.

It is not an unprimeable number, because it can be changed into a prime (100433639041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8694 + ... + 448266.

It is an arithmetic number, because the mean of its divisors is an integer number (1513233495).

Almost surely, 2^100433639040 is an apocalyptic number.

100433639040 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 100433639040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193693887360).

100433639040 is an abundant number, since it is smaller than the sum of its proper divisors (286954135680).

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

100433639040 is a wasteful number, since it uses less digits than its factorization.

100433639040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439619 (or 439607 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The spelling of 100433639040 in words is "one hundred billion, four hundred thirty-three million, six hundred thirty-nine thousand, forty".