21415114032 has 160 divisors (see below), whose sum is σ = 62247890880. Its totient is φ = 6298521600.

The previous prime is 21415114009. The next prime is 21415114069. The reversal of 21415114032 is 23041151412.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 21415113993 and 21415114011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1821838 + ... + 1833554.

It is an arithmetic number, because the mean of its divisors is an integer number (389049318).

Almost surely, 2^21415114032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21415114032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31123945440).

21415114032 is an abundant number, since it is smaller than the sum of its proper divisors (40832776848).

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

21415114032 is a wasteful number, since it uses less digits than its factorization.

21415114032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11871 (or 11865 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 21415114032 its reverse (23041151412), we get a palindrome (44456265444).

The spelling of 21415114032 in words is "twenty-one billion, four hundred fifteen million, one hundred fourteen thousand, thirty-two".