214073798400 has 2160 divisors, whose sum is σ = 1024562423808. Its totient is φ = 42799104000.

The previous prime is 214073798387. The next prime is 214073798441. The reversal of 214073798400 is 4897370412.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×214073798400² (a number of 23 digits) contains 22 as substring.

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 239 ways as a sum of consecutive naturals, for example, 1237420714 + ... + 1237420886.

Almost surely, 2^214073798400 is an apocalyptic number.

214073798400 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 214073798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512281211904).

214073798400 is an abundant number, since it is smaller than the sum of its proper divisors (810488625408).

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

214073798400 is a wasteful number, since it uses less digits than its factorization.

214073798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 214073798400 in words is "two hundred fourteen billion, seventy-three million, seven hundred ninety-eight thousand, four hundred".