1381631888000 has 512 divisors, whose sum is σ = 4476567513600. Its totient is φ = 411534950400.

The previous prime is 1381631887939. The next prime is 1381631888083. The reversal of 1381631888000 is 8881361831.

It is a happy number.

It is a super-3 number, since 3×1381631888000³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24724091 + ... + 24779909.

It is an arithmetic number, because the mean of its divisors is an integer number (8743295925).

Almost surely, 2^{1381631888000} is an apocalyptic number.

1381631888000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1381631888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2238283756800).

1381631888000 is an abundant number, since it is smaller than the sum of its proper divisors (3094935625600).

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

1381631888000 is a wasteful number, since it uses less digits than its factorization.

1381631888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55885 (or 55863 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 47.

The spelling of 1381631888000 in words is "one trillion, three hundred eighty-one billion, six hundred thirty-one million, eight hundred eighty-eight thousand".