214974950400 has 1056 divisors, whose sum is σ = 911181601280. Its totient is φ = 48651632640.

The previous prime is 214974950371. The next prime is 214974950419. The reversal of 214974950400 is 4059479412.

214974950400 is a `hidden beast` number, since 2 + 14 + 97 + 49 + 504 + 0 + 0 = 666.

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

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, 759628659 + ... + 759628941.

Almost surely, 2^214974950400 is an apocalyptic number.

214974950400 is a gapful number since it is divisible by the number (20) 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 214974950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455590800640).

214974950400 is an abundant number, since it is smaller than the sum of its proper divisors (696206650880).

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

214974950400 is a wasteful number, since it uses less digits than its factorization.

214974950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 214974950400 in words is "two hundred fourteen billion, nine hundred seventy-four million, nine hundred fifty thousand, four hundred".