100444017491040 has 384 divisors, whose sum is σ = 337787469250560. Its totient is φ = 25000664629248.

The previous prime is 100444017491009. The next prime is 100444017491053. The reversal of 100444017491040 is 40194710444001.

It is a self number, because there is not a number n which added to its sum of digits gives 100444017491040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2687159071 + ... + 2687196449.

It is an arithmetic number, because the mean of its divisors is an integer number (879654867840).

Almost surely, 2^{100444017491040} is an apocalyptic number.

100444017491040 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 100444017491040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168893734625280).

100444017491040 is an abundant number, since it is smaller than the sum of its proper divisors (237343451759520).

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

100444017491040 is a wasteful number, since it uses less digits than its factorization.

100444017491040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40134 (or 40126 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 100444017491040 in words is "one hundred trillion, four hundred forty-four billion, seventeen million, four hundred ninety-one thousand, forty".