1378324000400 has 60 divisors (see below), whose sum is σ = 3311544469092. Its totient is φ = 551309445120.

The previous prime is 1378324000397. The next prime is 1378324000451. The reversal of 1378324000400 is 40004238731.

It can be written as a sum of positive squares in 6 ways, for example, as 23576988304 + 1354747012096 = 153548^2 + 1163936^2 .

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, 16018292 + ... + 16104108.

Almost surely, 2^{1378324000400} is an apocalyptic number.

1378324000400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1378324000400 is an abundant number, since it is smaller than the sum of its proper divisors (1933220468692).

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

1378324000400 is a wasteful number, since it uses less digits than its factorization.

1378324000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125988 (or 125977 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The spelling of 1378324000400 in words is "one trillion, three hundred seventy-eight billion, three hundred twenty-four million, four hundred", and thus it is an aban number.