424979979424 has 192 divisors, whose sum is σ = 1124343908352. Its totient is φ = 152707968000.

The previous prime is 424979979419. The next prime is 424979979427.

424979979424 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×424979979424² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (424979979427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41860749 + ... + 41870899.

It is an arithmetic number, because the mean of its divisors is an integer number (5855957856).

Almost surely, 2^424979979424 is an apocalyptic number.

424979979424 is a gapful number since it is divisible by the number (44) 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 424979979424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562171954176).

424979979424 is an abundant number, since it is smaller than the sum of its proper divisors (699363928928).

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

424979979424 is a wasteful number, since it uses less digits than its factorization.

424979979424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11499 (or 11491 counting only the distinct ones).

The product of its digits is 329204736, while the sum is 70.

The spelling of 424979979424 in words is "four hundred twenty-four billion, nine hundred seventy-nine million, nine hundred seventy-nine thousand, four hundred twenty-four".