12407463940 has 24 divisors (see below), whose sum is σ = 27588361752. Its totient is φ = 4671045120.

The previous prime is 12407463917. The next prime is 12407463983. The reversal of 12407463940 is 4936470421.

It can be written as a sum of positive squares in 4 ways, for example, as 6148755396 + 6258708544 = 78414^2 + 79112^2 .

It is a super-3 number, since 3×12407463940³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 12407463893 and 12407463902.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18245931 + ... + 18246610.

It is an arithmetic number, because the mean of its divisors is an integer number (1149515073).

Almost surely, 2^12407463940 is an apocalyptic number.

12407463940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12407463940 is an abundant number, since it is smaller than the sum of its proper divisors (15180897812).

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

12407463940 is a wasteful number, since it uses less digits than its factorization.

12407463940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36492567 (or 36492565 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The spelling of 12407463940 in words is "twelve billion, four hundred seven million, four hundred sixty-three thousand, nine hundred forty".