416604928803840 has 2112 divisors, whose sum is σ = 1805142489177600. Its totient is φ = 90678298411008.

The previous prime is 416604928803787. The next prime is 416604928803887. The reversal of 416604928803840 is 48308829406614.

416604928803840 is a `hidden beast` number, since 4 + 1 + 6 + 60 + 492 + 8 + 8 + 0 + 3 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35677388082 + ... + 35677399758.

Almost surely, 2^{416604928803840} is an apocalyptic number.

416604928803840 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 416604928803840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902571244588800).

416604928803840 is an abundant number, since it is smaller than the sum of its proper divisors (1388537560373760).

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

416604928803840 is a wasteful number, since it uses less digits than its factorization.

416604928803840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11977 (or 11946 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 416604928803840 in words is "four hundred sixteen trillion, six hundred four billion, nine hundred twenty-eight million, eight hundred three thousand, eight hundred forty".