424137731424 has 384 divisors, whose sum is σ = 1332286341120. Its totient is φ = 116714649600.

The previous prime is 424137731401. The next prime is 424137731429.

It is a happy number.

424137731424 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424137731429) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66549102 + ... + 66555474.

It is an arithmetic number, because the mean of its divisors is an integer number (3469495680).

Almost surely, 2^424137731424 is an apocalyptic number.

424137731424 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 424137731424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666143170560).

424137731424 is an abundant number, since it is smaller than the sum of its proper divisors (908148609696).

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

424137731424 is a wasteful number, since it uses less digits than its factorization.

424137731424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6554 (or 6546 counting only the distinct ones).

The product of its digits is 451584, while the sum is 42.

The spelling of 424137731424 in words is "four hundred twenty-four billion, one hundred thirty-seven million, seven hundred thirty-one thousand, four hundred twenty-four".