10001009591400 has 48 divisors (see below), whose sum is σ = 31003129735200. Its totient is φ = 2666935890880.

The previous prime is 10001009591371. The next prime is 10001009591519. The reversal of 10001009591400 is 419590010001.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 11 ways as a sum of consecutive naturals, for example, 8334174060 + ... + 8334175259.

It is an arithmetic number, because the mean of its divisors is an integer number (645898536150).

Almost surely, 2^{10001009591400} is an apocalyptic number.

10001009591400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001009591400 is an abundant number, since it is smaller than the sum of its proper divisors (21002120143800).

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

10001009591400 is a wasteful number, since it uses less digits than its factorization.

10001009591400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16668349338 (or 16668349329 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 30.

The spelling of 10001009591400 in words is "ten trillion, one billion, nine million, five hundred ninety-one thousand, four hundred".