412040880000 has 480 divisors, whose sum is σ = 1521781592760. Its totient is φ = 106900992000.

The previous prime is 412040879989. The next prime is 412040880029. The reversal of 412040880000 is 88040214.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 26632267 + ... + 26647733.

Almost surely, 2^412040880000 is an apocalyptic number.

412040880000 is a gapful number since it is divisible by the number (40) 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 412040880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760890796380).

412040880000 is an abundant number, since it is smaller than the sum of its proper divisors (1109740712760).

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

412040880000 is a wasteful number, since it uses less digits than its factorization.

412040880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15544 (or 15514 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The spelling of 412040880000 in words is "four hundred twelve billion, forty million, eight hundred eighty thousand".