412259537880 has 384 divisors, whose sum is σ = 1401131571840. Its totient is φ = 105034752000.

The previous prime is 412259537873. The next prime is 412259537887. The reversal of 412259537880 is 88735952214.

412259537880 is a `hidden beast` number, since 4 + 1 + 2 + 25 + 9 + 537 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (412259537873) and next prime (412259537887).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412259537887) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 236793810 + ... + 236795550.

It is an arithmetic number, because the mean of its divisors is an integer number (3648780135).

Almost surely, 2^412259537880 is an apocalyptic number.

412259537880 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 412259537880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700565785920).

412259537880 is an abundant number, since it is smaller than the sum of its proper divisors (988872033960).

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

412259537880 is a wasteful number, since it uses less digits than its factorization.

412259537880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2123 (or 2116 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 412259537880 in words is "four hundred twelve billion, two hundred fifty-nine million, five hundred thirty-seven thousand, eight hundred eighty".