1413961632 has 72 divisors (see below), whose sum is σ = 4024693764. Its totient is φ = 470882304.

The previous prime is 1413961607. The next prime is 1413961643. The reversal of 1413961632 is 2361693141.

1413961632 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 9 + 616 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1404450576 + 9511056 = 37476^2 + 3084^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 497688 + ... + 500520.

Almost surely, 2^1413961632 is an apocalyptic number.

1413961632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1413961632 is an abundant number, since it is smaller than the sum of its proper divisors (2610732132).

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

1413961632 is a wasteful number, since it uses less digits than its factorization.

1413961632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4582 (or 4571 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 1413961632 is about 37602.6811810009. The cubic root of 1413961632 is about 1122.3953919279.

The spelling of 1413961632 in words is "one billion, four hundred thirteen million, nine hundred sixty-one thousand, six hundred thirty-two".