10457229024 has 288 divisors, whose sum is σ = 33628035168. Its totient is φ = 3055104000.

The previous prime is 10457229019. The next prime is 10457229053. The reversal of 10457229024 is 42092275401.

10457229024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 10457229024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10241634 + ... + 10242654.

It is an arithmetic number, because the mean of its divisors is an integer number (116764011).

Almost surely, 2^10457229024 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 10457229024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16814017584).

10457229024 is an abundant number, since it is smaller than the sum of its proper divisors (23170806144).

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

10457229024 is a wasteful number, since it uses less digits than its factorization.

10457229024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 10457229024 in words is "ten billion, four hundred fifty-seven million, two hundred twenty-nine thousand, twenty-four".