2001415087400 has 48 divisors (see below), whose sum is σ = 4729573550940. Its totient is φ = 787441996800.

The previous prime is 2001415087379. The next prime is 2001415087447. The reversal of 2001415087400 is 47805141002.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 428954262916 + 1572460824484 = 654946^2 + 1253978^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82013009 + ... + 82037408.

Almost surely, 2^{2001415087400} is an apocalyptic number.

2001415087400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001415087400 is an abundant number, since it is smaller than the sum of its proper divisors (2728158463540).

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

2001415087400 is a wasteful number, since it uses less digits than its factorization.

2001415087400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164050494 (or 164050485 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The spelling of 2001415087400 in words is "two trillion, one billion, four hundred fifteen million, eighty-seven thousand, four hundred".