10035791424 has 168 divisors, whose sum is σ = 30684310488. Its totient is φ = 3125084160.

The previous prime is 10035791387. The next prime is 10035791443. The reversal of 10035791424 is 42419753001.

It can be written as a sum of positive squares in 4 ways, for example, as 5073997824 + 4961793600 = 71232^2 + 70440^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1337764 + ... + 1345244.

Almost surely, 2^10035791424 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 10035791424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15342155244).

10035791424 is an abundant number, since it is smaller than the sum of its proper divisors (20648519064).

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

10035791424 is a wasteful number, since it uses less digits than its factorization.

10035791424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7653 (or 7640 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 10035791424 in words is "ten billion, thirty-five million, seven hundred ninety-one thousand, four hundred twenty-four".