10314275040 has 144 divisors (see below), whose sum is σ = 35382686976. Its totient is φ = 2736000000.

The previous prime is 10314275017. The next prime is 10314275087. The reversal of 10314275040 is 4057241301.

10314275040 is a `hidden beast` number, since 10 + 3 + 142 + 7 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 10314274995 and 10314275013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 256290 + ... + 293790.

It is an arithmetic number, because the mean of its divisors is an integer number (245713104).

Almost surely, 2^10314275040 is an apocalyptic number.

10314275040 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 10314275040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17691343488).

10314275040 is an abundant number, since it is smaller than the sum of its proper divisors (25068411936).

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

10314275040 is a wasteful number, since it uses less digits than its factorization.

10314275040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37713 (or 37702 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 10314275040 in words is "ten billion, three hundred fourteen million, two hundred seventy-five thousand, forty".