10127274240 has 144 divisors (see below), whose sum is σ = 33032740608. Its totient is φ = 2643099648.

The previous prime is 10127274203. The next prime is 10127274263. The reversal of 10127274240 is 4247272101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10127274198 and 10127274207.

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, 152424 + ... + 208536.

It is an arithmetic number, because the mean of its divisors is an integer number (229394032).

Almost surely, 2^10127274240 is an apocalyptic number.

10127274240 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 10127274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16516370304).

10127274240 is an abundant number, since it is smaller than the sum of its proper divisors (22905466368).

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

10127274240 is an equidigital number, since it uses as much as digits as its factorization.

10127274240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56184 (or 56170 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The spelling of 10127274240 in words is "ten billion, one hundred twenty-seven million, two hundred seventy-four thousand, two hundred forty".