10157824404 has 144 divisors (see below), whose sum is σ = 31786564992. Its totient is φ = 2663352576.

The previous prime is 10157824387. The next prime is 10157824423. The reversal of 10157824404 is 40442875101.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 557787 + ... + 575709.

Almost surely, 2^10157824404 is an apocalyptic number.

10157824404 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 10157824404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15893282496).

10157824404 is an abundant number, since it is smaller than the sum of its proper divisors (21628740588).

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

10157824404 is a wasteful number, since it uses less digits than its factorization.

10157824404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18126 (or 18121 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 10157824404 in words is "ten billion, one hundred fifty-seven million, eight hundred twenty-four thousand, four hundred four".