416275755402000 has 1280 divisors, whose sum is σ = 1506208396492800. Its totient is φ = 98251110604800.

The previous prime is 416275755401963. The next prime is 416275755402041. The reversal of 416275755402000 is 204557572614.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 66402254866 + ... + 66402261134.

It is an arithmetic number, because the mean of its divisors is an integer number (1176725309760).

Almost surely, 2^{416275755402000} is an apocalyptic number.

416275755402000 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 416275755402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753104198246400).

416275755402000 is an abundant number, since it is smaller than the sum of its proper divisors (1089932641090800).

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

416275755402000 is a wasteful number, since it uses less digits than its factorization.

416275755402000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6721 (or 6705 counting only the distinct ones).

The product of its (nonzero) digits is 2352000, while the sum is 48.

The spelling of 416275755402000 in words is "four hundred sixteen trillion, two hundred seventy-five billion, seven hundred fifty-five million, four hundred two thousand".