10260940032 has 360 divisors, whose sum is σ = 35234766336. Its totient is φ = 2909343744.

The previous prime is 10260940013. The next prime is 10260940037. The reversal of 10260940032 is 23004906201.

10260940032 is a `hidden beast` number, since 10 + 2 + 609 + 40 + 0 + 3 + 2 = 666.

It is a super-2 number, since 2×10260940032² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10260939978 and 10260940005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10260940037) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32368738 + ... + 32369054.

Almost surely, 2^10260940032 is an apocalyptic number.

10260940032 is a gapful number since it is divisible by the number (12) 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 10260940032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17617383168).

10260940032 is an abundant number, since it is smaller than the sum of its proper divisors (24973826304).

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

10260940032 is an equidigital number, since it uses as much as digits as its factorization.

10260940032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 10260940032 in words is "ten billion, two hundred sixty million, nine hundred forty thousand, thirty-two".