416802048000 has 768 divisors, whose sum is σ = 1511090380800. Its totient is φ = 101390745600.

The previous prime is 416802047957. The next prime is 416802048011. The reversal of 416802048000 is 840208614.

It is a tau number, because it is divible by the number of its divisors (768).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1088255809 + ... + 1088256191.

It is an arithmetic number, because the mean of its divisors is an integer number (1967565600).

Almost surely, 2^416802048000 is an apocalyptic number.

416802048000 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 416802048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755545190400).

416802048000 is an abundant number, since it is smaller than the sum of its proper divisors (1094288332800).

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

416802048000 is a wasteful number, since it uses less digits than its factorization.

416802048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The spelling of 416802048000 in words is "four hundred sixteen billion, eight hundred two million, forty-eight thousand".