416577061040 has 80 divisors (see below), whose sum is σ = 1107055810560. Its totient is φ = 142806931200.

The previous prime is 416577061007. The next prime is 416577061073. The reversal of 416577061040 is 40160775614.

It is an interprime number because it is at equal distance from previous prime (416577061007) and next prime (416577061073).

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4405781 + ... + 4499339.

It is an arithmetic number, because the mean of its divisors is an integer number (13838197632).

Almost surely, 2^416577061040 is an apocalyptic number.

416577061040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

416577061040 is an abundant number, since it is smaller than the sum of its proper divisors (690478749520).

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

416577061040 is a wasteful number, since it uses less digits than its factorization.

416577061040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101530 (or 101524 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 41.

The spelling of 416577061040 in words is "four hundred sixteen billion, five hundred seventy-seven million, sixty-one thousand, forty".