424798834721296 has 480 divisors, whose sum is σ = 1060479010713600. Its totient is φ = 163680411847680.

The previous prime is 424798834721221. The next prime is 424798834721329. The reversal of 424798834721296 is 692127438897424.

It is a Harshad number since it is a multiple of its sum of digits (76).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 78390629275 + ... + 78390634693.

It is an arithmetic number, because the mean of its divisors is an integer number (2209331272320).

Almost surely, 2^{424798834721296} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424798834721296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530239505356800).

424798834721296 is an abundant number, since it is smaller than the sum of its proper divisors (635680175992304).

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

424798834721296 is a wasteful number, since it uses less digits than its factorization.

424798834721296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8747 (or 8734 counting only the distinct ones).

The product of its digits is 2341011456, while the sum is 76.

The spelling of 424798834721296 in words is "four hundred twenty-four trillion, seven hundred ninety-eight billion, eight hundred thirty-four million, seven hundred twenty-one thousand, two hundred ninety-six".