10249091424 has 144 divisors (see below), whose sum is σ = 34241420304. Its totient is φ = 2866867200.

The previous prime is 10249091401. The next prime is 10249091429. The reversal of 10249091424 is 42419094201.

10249091424 is a `hidden beast` number, since 102 + 49 + 0 + 91 + 424 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10249091429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83247 + ... + 165614.

It is an arithmetic number, because the mean of its divisors is an integer number (237787641).

Almost surely, 2^10249091424 is an apocalyptic number.

It is an amenable number.

10249091424 is an abundant number, since it is smaller than the sum of its proper divisors (23992328880).

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

10249091424 is a wasteful number, since it uses less digits than its factorization.

10249091424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248901 (or 248890 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 10249091424 in words is "ten billion, two hundred forty-nine million, ninety-one thousand, four hundred twenty-four".