214365420981540 has 144 divisors (see below), whose sum is σ = 650727363751920. Its totient is φ = 57121439293440.

The previous prime is 214365420981511. The next prime is 214365420981641. The reversal of 214365420981540 is 45189024563412.

214365420981540 is a `hidden beast` number, since 2 + 1 + 4 + 3 + 6 + 5 + 4 + 2 + 0 + 98 + 1 + 540 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 26232814752804 + 188132606228736 = 5121798^2 + 13716144^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1331638176 + ... + 1331799144.

It is an arithmetic number, because the mean of its divisors is an integer number (4518940026055).

Almost surely, 2^{214365420981540} is an apocalyptic number.

214365420981540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214365420981540 is an abundant number, since it is smaller than the sum of its proper divisors (436361942770380).

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

214365420981540 is a wasteful number, since it uses less digits than its factorization.

214365420981540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166462 (or 166457 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 214365420981540 in words is "two hundred fourteen trillion, three hundred sixty-five billion, four hundred twenty million, nine hundred eighty-one thousand, five hundred forty".