12400461840 has 320 divisors, whose sum is σ = 42420784896. Its totient is φ = 2978021376.

The previous prime is 12400461823. The next prime is 12400461841. The reversal of 12400461840 is 4816400421.

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 = 12400461798 and 12400461807.

It is not an unprimeable number, because it can be changed into a prime (12400461841) 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, 28638264 + ... + 28638696.

Almost surely, 2^12400461840 is an apocalyptic number.

12400461840 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 12400461840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21210392448).

12400461840 is an abundant number, since it is smaller than the sum of its proper divisors (30020323056).

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

12400461840 is a wasteful number, since it uses less digits than its factorization.

12400461840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The spelling of 12400461840 in words is "twelve billion, four hundred million, four hundred sixty-one thousand, eight hundred forty".