214002054400 has 432 divisors, whose sum is σ = 560056654080. Its totient is φ = 80886988800.

The previous prime is 214002054391. The next prime is 214002054401. The reversal of 214002054400 is 4450200412.

It is a happy number.

It is a super-3 number, since 3×214002054400³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214002054401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1963321546 + ... + 1963321654.

It is an arithmetic number, because the mean of its divisors is an integer number (1296427440).

Almost surely, 2^214002054400 is an apocalyptic number.

214002054400 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 214002054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280028327040).

214002054400 is an abundant number, since it is smaller than the sum of its proper divisors (346054599680).

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

214002054400 is a wasteful number, since it uses less digits than its factorization.

214002054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

Adding to 214002054400 its reverse (4450200412), we get a palindrome (218452254812).

The spelling of 214002054400 in words is "two hundred fourteen billion, two million, fifty-four thousand, four hundred".