1381266432 has 528 divisors, whose sum is σ = 5174029952. Its totient is φ = 358318080.

The previous prime is 1381266379. The next prime is 1381266479. The reversal of 1381266432 is 2346621831.

1381266432 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 2 + 6 + 643 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22643682 + ... + 22643742.

Almost surely, 2^1381266432 is an apocalyptic number.

1381266432 is a gapful number since it is divisible by the number (12) 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 1381266432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2587014976).

1381266432 is an abundant number, since it is smaller than the sum of its proper divisors (3792763520).

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

1381266432 is an equidigital number, since it uses as much as digits as its factorization.

1381266432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 86 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 1381266432 is about 37165.3929348258. The cubic root of 1381266432 is about 1113.6767485749.

The spelling of 1381266432 in words is "one billion, three hundred eighty-one million, two hundred sixty-six thousand, four hundred thirty-two".