424451385792 has 448 divisors, whose sum is σ = 1521936138240. Its totient is φ = 113232494592.

The previous prime is 424451385763. The next prime is 424451385829. The reversal of 424451385792 is 297583154424.

It is a happy number.

424451385792 is a `hidden beast` number, since 4 + 2 + 44 + 513 + 85 + 7 + 9 + 2 = 666.

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 (54).

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, 26107138 + ... + 26123390.

It is an arithmetic number, because the mean of its divisors is an integer number (3397178880).

Almost surely, 2^424451385792 is an apocalyptic number.

424451385792 is a gapful number since it is divisible by the number (42) 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 424451385792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760968069120).

424451385792 is an abundant number, since it is smaller than the sum of its proper divisors (1097484752448).

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

424451385792 is a wasteful number, since it uses less digits than its factorization.

424451385792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16425 (or 16409 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 424451385792 in words is "four hundred twenty-four billion, four hundred fifty-one million, three hundred eighty-five thousand, seven hundred ninety-two".