416446505074040 has 64 divisors (see below), whose sum is σ = 1127223622771200. Its totient is φ = 135266834729088.

The previous prime is 416446505073943. The next prime is 416446505074051. The reversal of 416446505074040 is 40470505644614.

It is a self number, because there is not a number n which added to its sum of digits gives 416446505074040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39139703804 + ... + 39139714443.

It is an arithmetic number, because the mean of its divisors is an integer number (17612869105800).

Almost surely, 2^{416446505074040} is an apocalyptic number.

416446505074040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

416446505074040 is an abundant number, since it is smaller than the sum of its proper divisors (710777117697160).

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

416446505074040 is a wasteful number, since it uses less digits than its factorization.

416446505074040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78279418284 (or 78279418280 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 50.

The spelling of 416446505074040 in words is "four hundred sixteen trillion, four hundred forty-six billion, five hundred five million, seventy-four thousand, forty".