214115041520 has 40 divisors (see below), whose sum is σ = 497865619680. Its totient is φ = 85637733120.

The previous prime is 214115041397. The next prime is 214115041681. The reversal of 214115041520 is 25140511412.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×214115041520² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 214115041520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 739085 + ... + 987155.

It is an arithmetic number, because the mean of its divisors is an integer number (12446640492).

Almost surely, 2^214115041520 is an apocalyptic number.

214115041520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214115041520 is an abundant number, since it is smaller than the sum of its proper divisors (283750578160).

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

214115041520 is a wasteful number, since it uses less digits than its factorization.

214115041520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258873 (or 258867 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

Adding to 214115041520 its reverse (25140511412), we get a palindrome (239255552932).

The spelling of 214115041520 in words is "two hundred fourteen billion, one hundred fifteen million, forty-one thousand, five hundred twenty".