424415449920 has 448 divisors, whose sum is σ = 1682177642496. Its totient is φ = 88077189120.

The previous prime is 424415449919. The next prime is 424415449937. The reversal of 424415449920 is 29944514424.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 424415449920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65563804 + ... + 65570276.

Almost surely, 2^424415449920 is an apocalyptic number.

424415449920 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 424415449920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841088821248).

424415449920 is an abundant number, since it is smaller than the sum of its proper divisors (1257762192576).

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

424415449920 is a wasteful number, since it uses less digits than its factorization.

424415449920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7398 (or 7388 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 424415449920 in words is "four hundred twenty-four billion, four hundred fifteen million, four hundred forty-nine thousand, nine hundred twenty".