214520515040 has 72 divisors (see below), whose sum is σ = 548788608648. Its totient is φ = 79207564800.

The previous prime is 214520515039. The next prime is 214520515049. The reversal of 214520515040 is 40515025412.

214520515040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 214520514994 and 214520515012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214520515049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3939686 + ... + 3993765.

It is an arithmetic number, because the mean of its divisors is an integer number (7622064009).

Almost surely, 2^214520515040 is an apocalyptic number.

214520515040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214520515040 is an abundant number, since it is smaller than the sum of its proper divisors (334268093608).

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

214520515040 is a wasteful number, since it uses less digits than its factorization.

214520515040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7933492 (or 7933471 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 29.

The spelling of 214520515040 in words is "two hundred fourteen billion, five hundred twenty million, five hundred fifteen thousand, forty".