12400605470064 has 320 divisors, whose sum is σ = 40607854073856. Its totient is φ = 3177213591552.

The previous prime is 12400605470009. The next prime is 12400605470107. The reversal of 12400605470064 is 46007450600421.

It is a super-3 number, since 3×12400605470064³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33579994 + ... + 33947270.

Almost surely, 2^{12400605470064} is an apocalyptic number.

12400605470064 is a gapful number since it is divisible by the number (14) 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 12400605470064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20303927036928).

12400605470064 is an abundant number, since it is smaller than the sum of its proper divisors (28207248603792).

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

12400605470064 is a wasteful number, since it uses less digits than its factorization.

12400605470064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367592 (or 367586 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 12400605470064 in words is "twelve trillion, four hundred billion, six hundred five million, four hundred seventy thousand, sixty-four".