416484890640 has 640 divisors, whose sum is σ = 1769966714880. Its totient is φ = 87657043968.

The previous prime is 416484890623. The next prime is 416484890659. The reversal of 416484890640 is 46098484614.

416484890640 is a `hidden beast` number, since 4 + 16 + 484 + 8 + 90 + 64 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 87073689 + ... + 87078471.

It is an arithmetic number, because the mean of its divisors is an integer number (2765572992).

Almost surely, 2^416484890640 is an apocalyptic number.

416484890640 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 416484890640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884983357440).

416484890640 is an abundant number, since it is smaller than the sum of its proper divisors (1353481824240).

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

416484890640 is a wasteful number, since it uses less digits than its factorization.

416484890640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5268 (or 5256 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 416484890640 in words is "four hundred sixteen billion, four hundred eighty-four million, eight hundred ninety thousand, six hundred forty".