13533414420 has 96 divisors (see below), whose sum is σ = 38507470848. Its totient is φ = 3550580352.

The previous prime is 13533414379. The next prime is 13533414431. The reversal of 13533414420 is 2441433531.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4271677 + ... + 4274843.

It is an arithmetic number, because the mean of its divisors is an integer number (401119488).

Almost surely, 2^13533414420 is an apocalyptic number.

13533414420 is a gapful number since it is divisible by the number (10) 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 13533414420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19253735424).

13533414420 is an abundant number, since it is smaller than the sum of its proper divisors (24974056428).

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

13533414420 is a wasteful number, since it uses less digits than its factorization.

13533414420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4309 (or 4307 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 13533414420 its reverse (2441433531), we get a palindrome (15974847951).

The spelling of 13533414420 in words is "thirteen billion, five hundred thirty-three million, four hundred fourteen thousand, four hundred twenty".