10048792240 has 40 divisors (see below), whose sum is σ = 23398078320. Its totient is φ = 4013558016.

The previous prime is 10048792231. The next prime is 10048792241. The reversal of 10048792240 is 4229784001.

10048792240 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 (40).

It is a self number, because there is not a number n which added to its sum of digits gives 10048792240.

It is not an unprimeable number, because it can be changed into a prime (10048792241) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 38610 + ... + 146929.

It is an arithmetic number, because the mean of its divisors is an integer number (584951958).

Almost surely, 2^10048792240 is an apocalyptic number.

10048792240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10048792240 is an abundant number, since it is smaller than the sum of its proper divisors (13349286080).

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

10048792240 is a wasteful number, since it uses less digits than its factorization.

10048792240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186229 (or 186223 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The spelling of 10048792240 in words is "ten billion, forty-eight million, seven hundred ninety-two thousand, two hundred forty".