418307630440 has 128 divisors (see below), whose sum is σ = 1123740034560. Its totient is φ = 137022234624.

The previous prime is 418307630431. The next prime is 418307630443. The reversal of 418307630440 is 44036703814.

It is a super-2 number, since 2×418307630440² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 418307630393 and 418307630402.

It is not an unprimeable number, because it can be changed into a prime (418307630443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5481184 + ... + 5556976.

It is an arithmetic number, because the mean of its divisors is an integer number (8779219020).

Almost surely, 2^418307630440 is an apocalyptic number.

418307630440 is a gapful number since it is divisible by the number (40) 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 418307630440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561870017280).

418307630440 is an abundant number, since it is smaller than the sum of its proper divisors (705432404120).

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

418307630440 is a wasteful number, since it uses less digits than its factorization.

418307630440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76691 (or 76687 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The spelling of 418307630440 in words is "four hundred eighteen billion, three hundred seven million, six hundred thirty thousand, four hundred forty".