412191430560 has 1536 divisors, whose sum is σ = 1853300736000. Its totient is φ = 83229327360.

The previous prime is 412191430549. The next prime is 412191430613. The reversal of 412191430560 is 65034191214.

It is a happy number.

412191430560 is a `hidden beast` number, since 4 + 1 + 2 + 1 + 91 + 4 + 3 + 0 + 560 = 666.

412191430560 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1815821167 + ... + 1815821393.

It is an arithmetic number, because the mean of its divisors is an integer number (1206576000).

Almost surely, 2^412191430560 is an apocalyptic number.

412191430560 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 412191430560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926650368000).

412191430560 is an abundant number, since it is smaller than the sum of its proper divisors (1441109305440).

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

412191430560 is a wasteful number, since it uses less digits than its factorization.

412191430560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 412191430560 in words is "four hundred twelve billion, one hundred ninety-one million, four hundred thirty thousand, five hundred sixty".