412188628228800 has 336 divisors, whose sum is σ = 1411186661463552. Its totient is φ = 105132913459200.

The previous prime is 412188628228799. The next prime is 412188628228837. The reversal of 412188628228800 is 8822826881214.

It is a super-2 number, since 2×412188628228800² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 2650295040 + ... + 2650450560.

Almost surely, 2^{412188628228800} is an apocalyptic number.

412188628228800 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 412188628228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705593330731776).

412188628228800 is an abundant number, since it is smaller than the sum of its proper divisors (998998033234752).

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

412188628228800 is a wasteful number, since it uses less digits than its factorization.

412188628228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179576 (or 179561 counting only the distinct ones).

The product of its (nonzero) digits is 12582912, while the sum is 60.

The spelling of 412188628228800 in words is "four hundred twelve trillion, one hundred eighty-eight billion, six hundred twenty-eight million, two hundred twenty-eight thousand, eight hundred".