416359433880 has 768 divisors, whose sum is σ = 1538074137600. Its totient is φ = 96984760320.

The previous prime is 416359433879. The next prime is 416359433887. The reversal of 416359433880 is 88334953614.

416359433880 is a `hidden beast` number, since 4 + 16 + 3 + 594 + 3 + 38 + 8 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416359433887) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1786950244 + ... + 1786950476.

It is an arithmetic number, because the mean of its divisors is an integer number (2002700700).

Almost surely, 2^416359433880 is an apocalyptic number.

416359433880 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 416359433880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769037068800).

416359433880 is an abundant number, since it is smaller than the sum of its proper divisors (1121714703720).

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

416359433880 is a wasteful number, since it uses less digits than its factorization.

416359433880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 416359433880 in words is "four hundred sixteen billion, three hundred fifty-nine million, four hundred thirty-three thousand, eight hundred eighty".