418514450114640 has 80 divisors (see below), whose sum is σ = 1415339776760256. Its totient is φ = 101458048512000.

The previous prime is 418514450114591. The next prime is 418514450114647. The reversal of 418514450114640 is 46411054415814.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 418514450114640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (418514450114647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79264097761 + ... + 79264103040.

Almost surely, 2^{418514450114640} is an apocalyptic number.

418514450114640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

418514450114640 is an abundant number, since it is smaller than the sum of its proper divisors (996825326645616).

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

418514450114640 is a wasteful number, since it uses less digits than its factorization.

418514450114640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158528200828 (or 158528200822 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 48.

The spelling of 418514450114640 in words is "four hundred eighteen trillion, five hundred fourteen billion, four hundred fifty million, one hundred fourteen thousand, six hundred forty".