10265405742 has 48 divisors (see below), whose sum is σ = 22325136288. Its totient is φ = 3408998400.

The previous prime is 10265405713. The next prime is 10265405767. The reversal of 10265405742 is 24750456201.

It is a happy number.

10265405742 is a `hidden beast` number, since 1 + 0 + 26 + 540 + 57 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10265405697 and 10265405706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8902638 + ... + 8903790.

It is an arithmetic number, because the mean of its divisors is an integer number (465107006).

Almost surely, 2^10265405742 is an apocalyptic number.

10265405742 is an abundant number, since it is smaller than the sum of its proper divisors (12059730546).

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

10265405742 is a wasteful number, since it uses less digits than its factorization.

10265405742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2585 (or 2582 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 10265405742 in words is "ten billion, two hundred sixty-five million, four hundred five thousand, seven hundred forty-two".