412938255600 has 1440 divisors, whose sum is σ = 1728087728640. Its totient is φ = 90326016000.

The previous prime is 412938255511. The next prime is 412938255629. The reversal of 412938255600 is 6552839214.

412938255600 is a `hidden beast` number, since 4 + 1 + 2 + 9 + 3 + 82 + 5 + 560 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1247547435 + ... + 1247547765.

Almost surely, 2^412938255600 is an apocalyptic number.

412938255600 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 412938255600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864043864320).

412938255600 is an abundant number, since it is smaller than the sum of its proper divisors (1315149473040).

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

412938255600 is a wasteful number, since it uses less digits than its factorization.

412938255600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 412938255600 in words is "four hundred twelve billion, nine hundred thirty-eight million, two hundred fifty-five thousand, six hundred".