1046569920400 has 45 divisors (see below), whose sum is σ = 2514433390833. Its totient is φ = 418619784000.

The previous prime is 1046569920359. The next prime is 1046569920433. The reversal of 1046569920400 is 40299656401.

The square root of 1046569920400 is 1023020.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 376765171344 + 669804749056 = 613812^2 + 818416^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 20434825 + ... + 20485975.

Almost surely, 2^{1046569920400} is an apocalyptic number.

1046569920400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1046569920400 is the 1023020-th square number.

It is an amenable number.

1046569920400 is an abundant number, since it is smaller than the sum of its proper divisors (1467863470433).

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

1046569920400 is an frugal number, since it uses more digits than its factorization.

1046569920400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102320 (or 51158 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 46.

The spelling of 1046569920400 in words is "one trillion, forty-six billion, five hundred sixty-nine million, nine hundred twenty thousand, four hundred".