214150343513040 has 120 divisors (see below), whose sum is σ = 784568985808608. Its totient is φ = 51915234789120.

The previous prime is 214150343513039. The next prime is 214150343513053. The reversal of 214150343513040 is 40315343051412.

214150343513040 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 5 + 0 + 343 + 5 + 1 + 304 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 214150343512986 and 214150343513004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13519584474 + ... + 13519600313.

Almost surely, 2^{214150343513040} is an apocalyptic number.

214150343513040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214150343513040 is an abundant number, since it is smaller than the sum of its proper divisors (570418642295568).

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

214150343513040 is a wasteful number, since it uses less digits than its factorization.

214150343513040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27039184817 (or 27039184808 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 214150343513040 its reverse (40315343051412), we get a palindrome (254465686564452).

The spelling of 214150343513040 in words is "two hundred fourteen trillion, one hundred fifty billion, three hundred forty-three million, five hundred thirteen thousand, forty".