10492759440 has 140 divisors (see below), whose sum is σ = 36576969564. Its totient is φ = 2798053632.

The previous prime is 10492759427. The next prime is 10492759457. The reversal of 10492759440 is 4495729401.

10492759440 is a `hidden beast` number, since 1 + 0 + 492 + 75 + 94 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6951557376 + 3541202064 = 83376^2 + 59508^2 .

It is a super-2 number, since 2×10492759440² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 31639 + ... + 148278.

Almost surely, 2^10492759440 is an apocalyptic number.

10492759440 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 10492759440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18288484782).

10492759440 is an abundant number, since it is smaller than the sum of its proper divisors (26084210124).

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

10492759440 is an equidigital number, since it uses as much as digits as its factorization.

10492759440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179948 (or 179927 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 10492759440 in words is "ten billion, four hundred ninety-two million, seven hundred fifty-nine thousand, four hundred forty".