10017431424 has 1152 divisors, whose sum is σ = 42283594080. Its totient is φ = 2229534720.

The previous prime is 10017431399. The next prime is 10017431447. The reversal of 10017431424 is 42413471001.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 137225052 + ... + 137225124.

Almost surely, 2^10017431424 is an apocalyptic number.

10017431424 is a gapful number since it is divisible by the number (14) 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 10017431424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21141797040).

10017431424 is an abundant number, since it is smaller than the sum of its proper divisors (32266162656).

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

10017431424 is a wasteful number, since it uses less digits than its factorization.

10017431424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 10017431424 in words is "ten billion, seventeen million, four hundred thirty-one thousand, four hundred twenty-four".