1948893639400 has 48 divisors (see below), whose sum is σ = 4532253667200. Its totient is φ = 779372345280.

The previous prime is 1948893639361. The next prime is 1948893639421. The reversal of 1948893639400 is 49363988491.

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, 311032 + ... + 1998631.

It is an arithmetic number, because the mean of its divisors is an integer number (94421951400).

Almost surely, 2^{1948893639400} is an apocalyptic number.

1948893639400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1948893639400 is an abundant number, since it is smaller than the sum of its proper divisors (2583360027800).

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

1948893639400 is a wasteful number, since it uses less digits than its factorization.

1948893639400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2313898 (or 2313889 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 64.

The spelling of 1948893639400 in words is "one trillion, nine hundred forty-eight billion, eight hundred ninety-three million, six hundred thirty-nine thousand, four hundred".