418311172840 has 128 divisors (see below), whose sum is σ = 1049199091200. Its totient is φ = 148860445440.

The previous prime is 418311172837. The next prime is 418311172841. The reversal of 418311172840 is 48271113814.

It is a happy number.

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 = 418311172793 and 418311172802.

It is not an unprimeable number, because it can be changed into a prime (418311172841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45677542 + ... + 45686698.

It is an arithmetic number, because the mean of its divisors is an integer number (8196867900).

Almost surely, 2^418311172840 is an apocalyptic number.

418311172840 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 418311172840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524599545600).

418311172840 is an abundant number, since it is smaller than the sum of its proper divisors (630887918360).

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

418311172840 is an equidigital number, since it uses as much as digits as its factorization.

418311172840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9320 (or 9222 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 40.

The spelling of 418311172840 in words is "four hundred eighteen billion, three hundred eleven million, one hundred seventy-two thousand, eight hundred forty".