10262079940 has 96 divisors (see below), whose sum is σ = 24816637440. Its totient is φ = 3491748864.

The previous prime is 10262079929. The next prime is 10262079943. The reversal of 10262079940 is 4997026201.

10262079940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10262079893 and 10262079902.

It is not an unprimeable number, because it can be changed into a prime (10262079943) 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, 15860697 + ... + 15861343.

It is an arithmetic number, because the mean of its divisors is an integer number (258506640).

Almost surely, 2^10262079940 is an apocalyptic number.

10262079940 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 10262079940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12408318720).

10262079940 is an abundant number, since it is smaller than the sum of its proper divisors (14554557500).

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

10262079940 is a wasteful number, since it uses less digits than its factorization.

10262079940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The spelling of 10262079940 in words is "ten billion, two hundred sixty-two million, seventy-nine thousand, nine hundred forty".