412120497600 has 1512 divisors, whose sum is σ = 1787918565888. Its totient is φ = 89665228800.

The previous prime is 412120497577. The next prime is 412120497629. The reversal of 412120497600 is 6794021214.

It is a happy number.

412120497600 is a `hidden beast` number, since 4 + 1 + 2 + 1 + 2 + 0 + 49 + 7 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1815508687 + ... + 1815508913.

It is an arithmetic number, because the mean of its divisors is an integer number (1182485824).

Almost surely, 2^412120497600 is an apocalyptic number.

412120497600 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 412120497600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893959282944).

412120497600 is an abundant number, since it is smaller than the sum of its proper divisors (1375798068288).

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

412120497600 is a wasteful number, since it uses less digits than its factorization.

412120497600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 412120497600 in words is "four hundred twelve billion, one hundred twenty million, four hundred ninety-seven thousand, six hundred".