100466420624000 has 256 divisors, whose sum is σ = 250926365289600. Its totient is φ = 40003072000000.

The previous prime is 100466420623841. The next prime is 100466420624047. The reversal of 100466420624000 is 426024664001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7947657680 + ... + 7947670320.

Almost surely, 2^{100466420624000} is an apocalyptic number.

100466420624000 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 100466420624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125463182644800).

100466420624000 is an abundant number, since it is smaller than the sum of its proper divisors (150459944665600).

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

100466420624000 is a wasteful number, since it uses less digits than its factorization.

100466420624000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14900 (or 14878 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

The spelling of 100466420624000 in words is "one hundred trillion, four hundred sixty-six billion, four hundred twenty million, six hundred twenty-four thousand".