424191690720 has 1152 divisors, whose sum is σ = 1829307110400. Its totient is φ = 91380731904.

The previous prime is 424191690709. The next prime is 424191690739. The reversal of 424191690720 is 27096191424.

424191690720 is a `hidden beast` number, since 4 + 2 + 419 + 169 + 0 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 191 ways as a sum of consecutive naturals, for example, 263964157 + ... + 263965763.

It is an arithmetic number, because the mean of its divisors is an integer number (1587940200).

Almost surely, 2^424191690720 is an apocalyptic number.

424191690720 is a gapful number since it is divisible by the number (40) 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 424191690720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914653555200).

424191690720 is an abundant number, since it is smaller than the sum of its proper divisors (1405115419680).

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

424191690720 is a wasteful number, since it uses less digits than its factorization.

424191690720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1717 (or 1696 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 424191690720 in words is "four hundred twenty-four billion, one hundred ninety-one million, six hundred ninety thousand, seven hundred twenty".