1138958776400 has 60 divisors (see below), whose sum is σ = 2855320155552. Its totient is φ = 435775528320.

The previous prime is 1138958776381. The next prime is 1138958776429. The reversal of 1138958776400 is 46778598311.

It is a self number, because there is not a number n which added to its sum of digits gives 1138958776400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61890734 + ... + 61909133.

Almost surely, 2^{1138958776400} is an apocalyptic number.

1138958776400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1138958776400 is an abundant number, since it is smaller than the sum of its proper divisors (1716361379152).

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

1138958776400 is a wasteful number, since it uses less digits than its factorization.

1138958776400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123799908 (or 123799897 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 59.

The spelling of 1138958776400 in words is "one trillion, one hundred thirty-eight billion, nine hundred fifty-eight million, seven hundred seventy-six thousand, four hundred".