12400727040 has 528 divisors, whose sum is σ = 46923921408. Its totient is φ = 3009871872.

The previous prime is 12400727021. The next prime is 12400727063. The reversal of 12400727040 is 4072700421.

It is a happy number.

It is a super-2 number, since 2×12400727040² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12400726995 and 12400727013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76077999 + ... + 76078161.

Almost surely, 2^12400727040 is an apocalyptic number.

12400727040 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 12400727040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23461960704).

12400727040 is an abundant number, since it is smaller than the sum of its proper divisors (34523194368).

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

12400727040 is a wasteful number, since it uses less digits than its factorization.

12400727040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The spelling of 12400727040 in words is "twelve billion, four hundred million, seven hundred twenty-seven thousand, forty".