424104029525568 has 672 divisors, whose sum is σ = 1428704755488000. Its totient is φ = 110836444594176.

The previous prime is 424104029525567. The next prime is 424104029525641. The reversal of 424104029525568 is 865525920401424.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (424104029525567) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 689138896 + ... + 689754032.

Almost surely, 2^{424104029525568} is an apocalyptic number.

424104029525568 is a gapful number since it is divisible by the number (48) 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 424104029525568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714352377744000).

424104029525568 is an abundant number, since it is smaller than the sum of its proper divisors (1004600725962432).

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

424104029525568 is a wasteful number, since it uses less digits than its factorization.

424104029525568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615240 (or 615197 counting only the distinct ones).

The product of its (nonzero) digits is 27648000, while the sum is 57.

The spelling of 424104029525568 in words is "four hundred twenty-four trillion, one hundred four billion, twenty-nine million, five hundred twenty-five thousand, five hundred sixty-eight".