10133079240 has 128 divisors (see below), whose sum is σ = 32078592000. Its totient is φ = 2553585408.

The previous prime is 10133079223. The next prime is 10133079241. The reversal of 10133079240 is 4297033101.

10133079240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10133079198 and 10133079207.

It is not an unprimeable number, because it can be changed into a prime (10133079241) 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 31 ways as a sum of consecutive naturals, for example, 950017 + ... + 960623.

It is an arithmetic number, because the mean of its divisors is an integer number (250614000).

Almost surely, 2^10133079240 is an apocalyptic number.

10133079240 is a gapful number since it is divisible by the number (10) 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 10133079240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16039296000).

10133079240 is an abundant number, since it is smaller than the sum of its proper divisors (21945512760).

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

10133079240 is a wasteful number, since it uses less digits than its factorization.

10133079240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11059 (or 11055 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The spelling of 10133079240 in words is "ten billion, one hundred thirty-three million, seventy-nine thousand, two hundred forty".