10268147340 has 144 divisors (see below), whose sum is σ = 34701488640. Its totient is φ = 2436263040.

The previous prime is 10268147321. The next prime is 10268147341. The reversal of 10268147340 is 4374186201.

10268147340 is a `hidden beast` number, since 10 + 268 + 1 + 47 + 340 = 666.

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 = 10268147295 and 10268147304.

It is not an unprimeable number, because it can be changed into a prime (10268147341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37891 + ... + 148229.

It is an arithmetic number, because the mean of its divisors is an integer number (240982560).

Almost surely, 2^10268147340 is an apocalyptic number.

10268147340 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 10268147340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17350744320).

10268147340 is an abundant number, since it is smaller than the sum of its proper divisors (24433341300).

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

10268147340 is a wasteful number, since it uses less digits than its factorization.

10268147340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110412 (or 110407 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 10268147340 in words is "ten billion, two hundred sixty-eight million, one hundred forty-seven thousand, three hundred forty".