1413117640 has 128 divisors (see below), whose sum is σ = 3604746240. Its totient is φ = 493920000.

The previous prime is 1413117619. The next prime is 1413117659. The reversal of 1413117640 is 467113141.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1413117599 and 1413117608.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2877795 + ... + 2878285.

It is an arithmetic number, because the mean of its divisors is an integer number (28162080).

Almost surely, 2^1413117640 is an apocalyptic number.

1413117640 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 1413117640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1802373120).

1413117640 is an abundant number, since it is smaller than the sum of its proper divisors (2191628600).

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

1413117640 is a wasteful number, since it uses less digits than its factorization.

1413117640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 1413117640 is about 37591.4570082087. The cubic root of 1413117640 is about 1122.1720286598.

The spelling of 1413117640 in words is "one billion, four hundred thirteen million, one hundred seventeen thousand, six hundred forty".