214110545040 has 180 divisors, whose sum is σ = 836451384444. Its totient is φ = 48939545088.

The previous prime is 214110545039. The next prime is 214110545053. The reversal of 214110545040 is 40545011412.

214110545040 is a `hidden beast` number, since 2 + 1 + 4 + 110 + 545 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 48546190224 + 165564354816 = 220332^2 + 406896^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a junction number, because it is equal to n+sod(n) for n = 214110544995 and 214110545013.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2999167 + ... + 3069726.

Almost surely, 2^214110545040 is an apocalyptic number.

214110545040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214110545040 is an abundant number, since it is smaller than the sum of its proper divisors (622340839404).

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

214110545040 is a wasteful number, since it uses less digits than its factorization.

214110545040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6068926 (or 6068910 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 214110545040 its reverse (40545011412), we get a palindrome (254655556452).

The spelling of 214110545040 in words is "two hundred fourteen billion, one hundred ten million, five hundred forty-five thousand, forty".