214211122440 has 96 divisors (see below), whose sum is σ = 747553121280. Its totient is φ = 48962540928.

The previous prime is 214211122429. The next prime is 214211122487. The reversal of 214211122440 is 44221112412.

It is a happy number.

214211122440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 214211122440.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18209352 + ... + 18221111.

It is an arithmetic number, because the mean of its divisors is an integer number (7787011680).

Almost surely, 2^214211122440 is an apocalyptic number.

214211122440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214211122440 is an abundant number, since it is smaller than the sum of its proper divisors (533341998840).

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

214211122440 is a wasteful number, since it uses less digits than its factorization.

214211122440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36430491 (or 36430480 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 214211122440 its reverse (44221112412), we get a palindrome (258432234852).

The spelling of 214211122440 in words is "two hundred fourteen billion, two hundred eleven million, one hundred twenty-two thousand, four hundred forty".