424413815616 has 392 divisors, whose sum is σ = 1505875031424. Its totient is φ = 115986816000.

The previous prime is 424413815563. The next prime is 424413815629. The reversal of 424413815616 is 616518314424.

424413815616 is a `hidden beast` number, since 4 + 2 + 4 + 4 + 1 + 3 + 81 + 561 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 7483366 + ... + 7539866.

Almost surely, 2^424413815616 is an apocalyptic number.

424413815616 is a gapful number since it is divisible by the number (46) 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 424413815616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752937515712).

424413815616 is an abundant number, since it is smaller than the sum of its proper divisors (1081461215808).

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

424413815616 is an equidigital number, since it uses as much as digits as its factorization.

424413815616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56561 (or 56536 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 424413815616 in words is "four hundred twenty-four billion, four hundred thirteen million, eight hundred fifteen thousand, six hundred sixteen".