1381862400 has 264 divisors, whose sum is σ = 4812578880. Its totient is φ = 348733440.

The previous prime is 1381862399. The next prime is 1381862407. The reversal of 1381862400 is 42681831.

It is not an unprimeable number, because it can be changed into a prime (1381862407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1458727 + ... + 1459673.

Almost surely, 2^1381862400 is an apocalyptic number.

1381862400 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 1381862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2406289440).

1381862400 is an abundant number, since it is smaller than the sum of its proper divisors (3430716480).

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

1381862400 is a wasteful number, since it uses less digits than its factorization.

1381862400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 1381862400 is about 37173.4098516668. The cubic root of 1381862400 is about 1113.8368963579.

The spelling of 1381862400 in words is "one billion, three hundred eighty-one million, eight hundred sixty-two thousand, four hundred".