10407710740 has 120 divisors (see below), whose sum is σ = 25855358760. Its totient is φ = 3518290944.

The previous prime is 10407710737. The next prime is 10407710759. The reversal of 10407710740 is 4701770401.

It can be written as a sum of positive squares in 4 ways, for example, as 38416 + 10407672324 = 196^2 + 102018^2 .

It is a super-2 number, since 2×10407710740² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3503976 + ... + 3506944.

It is an arithmetic number, because the mean of its divisors is an integer number (215461323).

Almost surely, 2^10407710740 is an apocalyptic number.

10407710740 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 10407710740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12927679380).

10407710740 is an abundant number, since it is smaller than the sum of its proper divisors (15447648020).

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

10407710740 is an equidigital number, since it uses as much as digits as its factorization.

10407710740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3079 (or 3056 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 31.

The spelling of 10407710740 in words is "ten billion, four hundred seven million, seven hundred ten thousand, seven hundred forty".