418472260440 has 512 divisors, whose sum is σ = 1453726310400. Its totient is φ = 95457116160.

The previous prime is 418472260417. The next prime is 418472260471. The reversal of 418472260440 is 44062274814.

It is a junction number, because it is equal to n+sod(n) for n = 418472260392 and 418472260401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 652842520 + ... + 652843160.

It is an arithmetic number, because the mean of its divisors is an integer number (2839309200).

Almost surely, 2^418472260440 is an apocalyptic number.

418472260440 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 418472260440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726863155200).

418472260440 is an abundant number, since it is smaller than the sum of its proper divisors (1035254049960).

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

418472260440 is a wasteful number, since it uses less digits than its factorization.

418472260440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 42.

The spelling of 418472260440 in words is "four hundred eighteen billion, four hundred seventy-two million, two hundred sixty thousand, four hundred forty".