214385819531400 has 384 divisors, whose sum is σ = 833349273840000. Its totient is φ = 50180170521600.

The previous prime is 214385819531249. The next prime is 214385819531491. The reversal of 214385819531400 is 4135918583412.

214385819531400 is a `hidden beast` number, since 2 + 1 + 4 + 3 + 8 + 58 + 19 + 531 + 40 + 0 = 666.

214385819531400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×214385819531400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 60504795 + ... + 63949994.

It is an arithmetic number, because the mean of its divisors is an integer number (2170180400625).

Almost surely, 2^{214385819531400} is an apocalyptic number.

214385819531400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214385819531400 is an abundant number, since it is smaller than the sum of its proper divisors (618963454308600).

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

214385819531400 is a wasteful number, since it uses less digits than its factorization.

214385819531400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124454854 (or 124454839 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 214385819531400 in words is "two hundred fourteen trillion, three hundred eighty-five billion, eight hundred nineteen million, five hundred thirty-one thousand, four hundred".