416506545416000 has 224 divisors, whose sum is σ = 1120653279895968. Its totient is φ = 152426080665600.

The previous prime is 416506545415999. The next prime is 416506545416069. The reversal of 416506545416000 is 614545605614.

It can be written as a sum of positive squares in 16 ways, for example, as 371506812838144 + 44999732577856 = 19274512^2 + 6708184^2 .

It is a super-2 number, since 2×416506545416000² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5968667 + ... + 29472666.

It is an arithmetic number, because the mean of its divisors is an integer number (5002916428107).

Almost surely, 2^{416506545416000} is an apocalyptic number.

416506545416000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

416506545416000 is an abundant number, since it is smaller than the sum of its proper divisors (704146734479968).

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

416506545416000 is a wasteful number, since it uses less digits than its factorization.

416506545416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35441486 (or 35441466 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 47.

The spelling of 416506545416000 in words is "four hundred sixteen trillion, five hundred six billion, five hundred forty-five million, four hundred sixteen thousand".