214256149440 has 224 divisors, whose sum is σ = 698278268160. Its totient is φ = 55640088576.

The previous prime is 214256149339. The next prime is 214256149543. The reversal of 214256149440 is 44941652412.

It is a super-2 number, since 2×214256149440² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 214256149392 and 214256149401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6042804 + ... + 6078156.

Almost surely, 2^214256149440 is an apocalyptic number.

214256149440 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 214256149440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349139134080).

214256149440 is an abundant number, since it is smaller than the sum of its proper divisors (484022118720).

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

214256149440 is a wasteful number, since it uses less digits than its factorization.

214256149440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35539 (or 35529 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 214256149440 in words is "two hundred fourteen billion, two hundred fifty-six million, one hundred forty-nine thousand, four hundred forty".