1381875840 has 384 divisors, whose sum is σ = 5040921600. Its totient is φ = 348364800.

The previous prime is 1381875829. The next prime is 1381875863. The reversal of 1381875840 is 485781831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 12677706 + ... + 12677814.

It is an arithmetic number, because the mean of its divisors is an integer number (13127400).

Almost surely, 2^1381875840 is an apocalyptic number.

1381875840 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 1381875840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2520460800).

1381875840 is an abundant number, since it is smaller than the sum of its proper divisors (3659045760).

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

1381875840 is a wasteful number, since it uses less digits than its factorization.

1381875840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 1381875840 is about 37173.5906256041. The cubic root of 1381875840 is about 1113.8405074071.

The spelling of 1381875840 in words is "one billion, three hundred eighty-one million, eight hundred seventy-five thousand, eight hundred forty".