214191780452440 has 384 divisors, whose sum is σ = 608009937638400. Its totient is φ = 67489165578240.

The previous prime is 214191780452413. The next prime is 214191780452477. The reversal of 214191780452440 is 44254087191412.

214191780452440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×214191780452440² (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 95 ways as a sum of consecutive naturals, for example, 197240155 + ... + 198323125.

It is an arithmetic number, because the mean of its divisors is an integer number (1583359212600).

Almost surely, 2^{214191780452440} is an apocalyptic number.

214191780452440 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 214191780452440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304004968819200).

214191780452440 is an abundant number, since it is smaller than the sum of its proper divisors (393818157185960).

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

214191780452440 is a wasteful number, since it uses less digits than its factorization.

214191780452440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083175 (or 1083164 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 52.

The spelling of 214191780452440 in words is "two hundred fourteen trillion, one hundred ninety-one billion, seven hundred eighty million, four hundred fifty-two thousand, four hundred forty".