424642417920 has 1152 divisors, whose sum is σ = 1847959142400. Its totient is φ = 90126286848.

The previous prime is 424642417907. The next prime is 424642417939. The reversal of 424642417920 is 29714246424.

It is a tau number, because it is divible by the number of its divisors (1152).

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 324897907 + ... + 324899213.

It is an arithmetic number, because the mean of its divisors is an integer number (1604131200).

Almost surely, 2^424642417920 is an apocalyptic number.

424642417920 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 424642417920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923979571200).

424642417920 is an abundant number, since it is smaller than the sum of its proper divisors (1423316724480).

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

424642417920 is a wasteful number, since it uses less digits than its factorization.

424642417920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 424642417920 in words is "four hundred twenty-four billion, six hundred forty-two million, four hundred seventeen thousand, nine hundred twenty".