418922676480 has 864 divisors, whose sum is σ = 1769430297600. Its totient is φ = 82455183360.

The previous prime is 418922676451. The next prime is 418922676481. The reversal of 418922676480 is 84676229814.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 418922676480.

It is not an unprimeable number, because it can be changed into a prime (418922676481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61793731 + ... + 61800509.

Almost surely, 2^418922676480 is an apocalyptic number.

418922676480 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 418922676480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884715148800).

418922676480 is an abundant number, since it is smaller than the sum of its proper divisors (1350507621120).

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

418922676480 is a wasteful number, since it uses less digits than its factorization.

418922676480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6851 (or 6826 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 57.

The spelling of 418922676480 in words is "four hundred eighteen billion, nine hundred twenty-two million, six hundred seventy-six thousand, four hundred eighty".