214811464675440 has 320 divisors, whose sum is σ = 733430298706560. Its totient is φ = 51766782197760.

The previous prime is 214811464675403. The next prime is 214811464675501. The reversal of 214811464675440 is 44576464118412.

It is a super-2 number, since 2×214811464675440² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16400692 + ... + 26431148.

It is an arithmetic number, because the mean of its divisors is an integer number (2291969683458).

Almost surely, 2^{214811464675440} is an apocalyptic number.

214811464675440 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 214811464675440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366715149353280).

214811464675440 is an abundant number, since it is smaller than the sum of its proper divisors (518618834031120).

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

214811464675440 is a wasteful number, since it uses less digits than its factorization.

214811464675440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10030700 (or 10030694 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 57.

The spelling of 214811464675440 in words is "two hundred fourteen trillion, eight hundred eleven billion, four hundred sixty-four million, six hundred seventy-five thousand, four hundred forty".