100444515040000 has 180 divisors, whose sum is σ = 253559232616536. Its totient is φ = 39693730816000.

The previous prime is 100444515039989. The next prime is 100444515040061. The reversal of 100444515040000 is 40515444001.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9498204 + ... + 17061796.

Almost surely, 2^{100444515040000} is an apocalyptic number.

100444515040000 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 100444515040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126779616308268).

100444515040000 is an abundant number, since it is smaller than the sum of its proper divisors (153114717576536).

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

100444515040000 is an frugal number, since it uses more digits than its factorization.

100444515040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7563712 (or 7563683 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The spelling of 100444515040000 in words is "one hundred trillion, four hundred forty-four billion, five hundred fifteen million, forty thousand".