412626625200 has 480 divisors, whose sum is σ = 1560473337600. Its totient is φ = 103262791680.

The previous prime is 412626625153. The next prime is 412626625223. The reversal of 412626625200 is 2526626214.

412626625200 is a `hidden beast` number, since 4 + 1 + 2 + 6 + 2 + 6 + 625 + 20 + 0 = 666.

It is a super-3 number, since 3×412626625200³ (a number of 36 digits) contains 333 as substring.

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 95 ways as a sum of consecutive naturals, for example, 21947004 + ... + 21965796.

It is an arithmetic number, because the mean of its divisors is an integer number (3250986120).

Almost surely, 2^412626625200 is an apocalyptic number.

412626625200 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 412626625200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780236668800).

412626625200 is an abundant number, since it is smaller than the sum of its proper divisors (1147846712400).

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

412626625200 is a wasteful number, since it uses less digits than its factorization.

412626625200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18946 (or 18929 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 412626625200 in words is "four hundred twelve billion, six hundred twenty-six million, six hundred twenty-five thousand, two hundred".