10269685440 has 784 divisors, whose sum is σ = 44241841920. Its totient is φ = 2217093120.

The previous prime is 10269685427. The next prime is 10269685441. The reversal of 10269685440 is 4458696201.

10269685440 is a `hidden beast` number, since 10 + 2 + 6 + 96 + 8 + 544 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10269685441) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 31026075 + ... + 31026405.

Almost surely, 2^10269685440 is an apocalyptic number.

10269685440 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 10269685440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22120920960).

10269685440 is an abundant number, since it is smaller than the sum of its proper divisors (33972156480).

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

10269685440 is an equidigital number, since it uses as much as digits as its factorization.

10269685440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 10269685440 in words is "ten billion, two hundred sixty-nine million, six hundred eighty-five thousand, four hundred forty".