10310005253440 has 112 divisors (see below), whose sum is σ = 24782072000400. Its totient is φ = 4085155233792.

The previous prime is 10310005253413. The next prime is 10310005253467. The reversal of 10310005253440 is 4435250001301.

It is an interprime number because it is at equal distance from previous prime (10310005253413) and next prime (10310005253467).

It can be written as a sum of positive squares in 8 ways, for example, as 503237009664 + 9806768243776 = 709392^2 + 3131576^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10310005253399 and 10310005253408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149565862 + ... + 149634778.

Almost surely, 2^{10310005253440} is an apocalyptic number.

10310005253440 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 10310005253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12391036000200).

10310005253440 is an abundant number, since it is smaller than the sum of its proper divisors (14472066746960).

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

10310005253440 is a wasteful number, since it uses less digits than its factorization.

10310005253440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73332 (or 73322 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 10310005253440 its reverse (4435250001301), we get a palindrome (14745255254741).

The spelling of 10310005253440 in words is "ten trillion, three hundred ten billion, five million, two hundred fifty-three thousand, four hundred forty".