214003042400 has 288 divisors, whose sum is σ = 613147631040. Its totient is φ = 71405568000.

The previous prime is 214003042397. The next prime is 214003042457. The reversal of 214003042400 is 4240300412.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119620706 + ... + 119622494.

It is an arithmetic number, because the mean of its divisors is an integer number (2128984830).

Almost surely, 2^214003042400 is an apocalyptic number.

214003042400 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 214003042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306573815520).

214003042400 is an abundant number, since it is smaller than the sum of its proper divisors (399144588640).

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

214003042400 is a wasteful number, since it uses less digits than its factorization.

214003042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2378 (or 2365 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 214003042400 its reverse (4240300412), we get a palindrome (218243342812).

The spelling of 214003042400 in words is "two hundred fourteen billion, three million, forty-two thousand, four hundred".