12878420040 has 320 divisors, whose sum is σ = 46595522160. Its totient is φ = 3178414080.

The previous prime is 12878420017. The next prime is 12878420041. The reversal of 12878420040 is 4002487821.

12878420040 is a `hidden beast` number, since 128 + 78 + 420 + 0 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2042859204 + 10835560836 = 45198^2 + 104094^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12878419977 and 12878420004.

It is not an unprimeable number, because it can be changed into a prime (12878420041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3357964 + ... + 3361796.

Almost surely, 2^12878420040 is an apocalyptic number.

12878420040 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 12878420040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23297761080).

12878420040 is an abundant number, since it is smaller than the sum of its proper divisors (33717102120).

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

12878420040 is a wasteful number, since it uses less digits than its factorization.

12878420040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3934 (or 3921 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 12878420040 in words is "twelve billion, eight hundred seventy-eight million, four hundred twenty thousand, forty".