1413631440 has 400 divisors, whose sum is σ = 5372812368. Its totient is φ = 342392832.

The previous prime is 1413631433. The next prime is 1413631489. The reversal of 1413631440 is 441363141.

1413631440 is a `hidden beast` number, since 14 + 13 + 631 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3779136 + 1409852304 = 1944^2 + 37548^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8171194 + ... + 8171366.

Almost surely, 2^1413631440 is an apocalyptic number.

1413631440 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 1413631440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2686406184).

1413631440 is an abundant number, since it is smaller than the sum of its proper divisors (3959180928).

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

1413631440 is a wasteful number, since it uses less digits than its factorization.

1413631440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1413631440 is about 37598.2903866652. The cubic root of 1413631440 is about 1122.3080168953.

Adding to 1413631440 its reverse (441363141), we get a palindrome (1854994581).

The spelling of 1413631440 in words is "one billion, four hundred thirteen million, six hundred thirty-one thousand, four hundred forty".