1876954800400 has 45 divisors (see below), whose sum is σ = 4509449738383. Its totient is φ = 750770960000.

The previous prime is 1876954800397. The next prime is 1876954800407. The reversal of 1876954800400 is 40084596781.

The square root of 1876954800400 is 1370020.

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

It can be written as a sum of positive squares in 4 ways, for example, as 910398405904 + 966556394496 = 954148^2 + 983136^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1876954800407) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 27366150 + ... + 27434650.

Almost surely, 2^{1876954800400} is an apocalyptic number.

1876954800400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1876954800400 is the 1370020-th square number.

It is an amenable number.

1876954800400 is an abundant number, since it is smaller than the sum of its proper divisors (2632494937983).

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

1876954800400 is an frugal number, since it uses more digits than its factorization.

1876954800400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137020 (or 68508 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 52.

The spelling of 1876954800400 in words is "one trillion, eight hundred seventy-six billion, nine hundred fifty-four million, eight hundred thousand, four hundred".