1381142090400 has 144 divisors (see below), whose sum is σ = 4520734092000. Its totient is φ = 366246876160.

The previous prime is 1381142090387. The next prime is 1381142090453. The reversal of 1381142090400 is 40902411831.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1177875 + ... + 2037074.

It is an arithmetic number, because the mean of its divisors is an integer number (31393986750).

Almost surely, 2^{1381142090400} is an apocalyptic number.

1381142090400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1381142090400 is an abundant number, since it is smaller than the sum of its proper divisors (3139592001600).

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

1381142090400 is a wasteful number, since it uses less digits than its factorization.

1381142090400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3215151 (or 3215138 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 1381142090400 in words is "one trillion, three hundred eighty-one billion, one hundred forty-two million, ninety thousand, four hundred".