1046166032400 has 120 divisors (see below), whose sum is σ = 3351613337184. Its totient is φ = 278944742400.

The previous prime is 1046166032393. The next prime is 1046166032441. The reversal of 1046166032400 is 42306616401.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11157715 + ... + 11251085.

Almost surely, 2^{1046166032400} is an apocalyptic number.

1046166032400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1046166032400 is an abundant number, since it is smaller than the sum of its proper divisors (2305447304784).

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

1046166032400 is a wasteful number, since it uses less digits than its factorization.

1046166032400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102729 (or 102718 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 1046166032400 in words is "one trillion, forty-six billion, one hundred sixty-six million, thirty-two thousand, four hundred".