416425061600 has 72 divisors (see below), whose sum is σ = 1021758462648. Its totient is φ = 165724428800.

The previous prime is 416425061597. The next prime is 416425061621. The reversal of 416425061600 is 6160524614.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1163546 + ... + 1478745.

It is an arithmetic number, because the mean of its divisors is an integer number (14191089759).

Almost surely, 2^416425061600 is an apocalyptic number.

416425061600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

416425061600 is an abundant number, since it is smaller than the sum of its proper divisors (605333401048).

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

416425061600 is a wasteful number, since it uses less digits than its factorization.

416425061600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2642508 (or 2642495 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 416425061600 in words is "four hundred sixteen billion, four hundred twenty-five million, sixty-one thousand, six hundred".