214993670400 has 648 divisors, whose sum is σ = 799982158976. Its totient is φ = 55041638400.

The previous prime is 214993670371. The next prime is 214993670407. The reversal of 214993670400 is 4076399412.

It is a happy number.

214993670400 is a `hidden beast` number, since 2 + 149 + 9 + 36 + 70 + 400 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (214993670407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 151084089 + ... + 151085511.

Almost surely, 2^214993670400 is an apocalyptic number.

214993670400 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 214993670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399991079488).

214993670400 is an abundant number, since it is smaller than the sum of its proper divisors (584988488576).

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

214993670400 is a wasteful number, since it uses less digits than its factorization.

214993670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1559 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 214993670400 in words is "two hundred fourteen billion, nine hundred ninety-three million, six hundred seventy thousand, four hundred".