10307269440 has 560 divisors, whose sum is σ = 39938218320. Its totient is φ = 2523156480.

The previous prime is 10307269429. The next prime is 10307269459. The reversal of 10307269440 is 4496270301.

It can be written as a sum of positive squares in 8 ways, for example, as 9972818496 + 334450944 = 99864^2 + 18288^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10307269395 and 10307269404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 56946150 + ... + 56946330.

It is an arithmetic number, because the mean of its divisors is an integer number (71318247).

Almost surely, 2^10307269440 is an apocalyptic number.

10307269440 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 10307269440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19969109160).

10307269440 is an abundant number, since it is smaller than the sum of its proper divisors (29630948880).

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

10307269440 is an equidigital number, since it uses as much as digits as its factorization.

10307269440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 10307269440 in words is "ten billion, three hundred seven million, two hundred sixty-nine thousand, four hundred forty".