21413353416 has 256 divisors, whose sum is σ = 68279500800. Its totient is φ = 5443891200.

The previous prime is 21413353411. The next prime is 21413353421. The reversal of 21413353416 is 61435331412.

It is an interprime number because it is at equal distance from previous prime (21413353411) and next prime (21413353421).

Its product of digits (25920) is a multiple of the sum of its prime divisors (1296).

It is not an unprimeable number, because it can be changed into a prime (21413353411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24305296 + ... + 24306176.

It is an arithmetic number, because the mean of its divisors is an integer number (266716800).

Almost surely, 2^21413353416 is an apocalyptic number.

21413353416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21413353416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34139750400).

21413353416 is an abundant number, since it is smaller than the sum of its proper divisors (46866147384).

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

21413353416 is a wasteful number, since it uses less digits than its factorization.

21413353416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300 (or 1296 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

Adding to 21413353416 its reverse (61435331412), we get a palindrome (82848684828).

The spelling of 21413353416 in words is "twenty-one billion, four hundred thirteen million, three hundred fifty-three thousand, four hundred sixteen".