214251005133440 has 192 divisors, whose sum is σ = 577362749268960. Its totient is φ = 75396245760000.

The previous prime is 214251005133437. The next prime is 214251005133467. The reversal of 214251005133440 is 44331500152412.

It is a self number, because there is not a number n which added to its sum of digits gives 214251005133440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9068786 + ... + 22599665.

Almost surely, 2^{214251005133440} is an apocalyptic number.

214251005133440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214251005133440 is an abundant number, since it is smaller than the sum of its proper divisors (363111744135520).

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

214251005133440 is a wasteful number, since it uses less digits than its factorization.

214251005133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31668543 (or 31668500 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

Adding to 214251005133440 its reverse (44331500152412), we get a palindrome (258582505285852).

The spelling of 214251005133440 in words is "two hundred fourteen trillion, two hundred fifty-one billion, five million, one hundred thirty-three thousand, four hundred forty".