10314407040 has 512 divisors, whose sum is σ = 39923159040. Its totient is φ = 2214051840.

The previous prime is 10314407039. The next prime is 10314407041. The reversal of 10314407040 is 4070441301.

It is an interprime number because it is at equal distance from previous prime (10314407039) and next prime (10314407041).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10314407040.

It is not an unprimeable number, because it can be changed into a prime (10314407041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18856047 + ... + 18856593.

It is an arithmetic number, because the mean of its divisors is an integer number (77974920).

Almost surely, 2^10314407040 is an apocalyptic number.

10314407040 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 10314407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19961579520).

10314407040 is an abundant number, since it is smaller than the sum of its proper divisors (29608752000).

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

10314407040 is a wasteful number, since it uses less digits than its factorization.

10314407040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

Adding to 10314407040 its reverse (4070441301), we get a palindrome (14384848341).

The spelling of 10314407040 in words is "ten billion, three hundred fourteen million, four hundred seven thousand, forty".