416042760000 has 280 divisors, whose sum is σ = 1572042535360. Its totient is φ = 95095296000.

The previous prime is 416042759981. The next prime is 416042760053. The reversal of 416042760000 is 67240614.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 416042760000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 592356 + ... + 1087644.

Almost surely, 2^416042760000 is an apocalyptic number.

416042760000 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 416042760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786021267680).

416042760000 is an abundant number, since it is smaller than the sum of its proper divisors (1155999775360).

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

416042760000 is an equidigital number, since it uses as much as digits as its factorization.

416042760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495331 (or 495306 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 416042760000 in words is "four hundred sixteen billion, forty-two million, seven hundred sixty thousand".