214334333421400 has 192 divisors, whose sum is σ = 562155392966400. Its totient is φ = 75590332392960.

The previous prime is 214334333421367. The next prime is 214334333421493. The reversal of 214334333421400 is 4124333433412.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 214334333421400.

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, 29905902 + ... + 36373501.

It is an arithmetic number, because the mean of its divisors is an integer number (2927892671700).

Almost surely, 2^{214334333421400} is an apocalyptic number.

214334333421400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214334333421400 is an abundant number, since it is smaller than the sum of its proper divisors (347821059545000).

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

214334333421400 is a wasteful number, since it uses less digits than its factorization.

214334333421400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66279498 (or 66279489 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 37.

Adding to 214334333421400 its reverse (4124333433412), we get a palindrome (218458666854812).

The spelling of 214334333421400 in words is "two hundred fourteen trillion, three hundred thirty-four billion, three hundred thirty-three million, four hundred twenty-one thousand, four hundred".