13385421540 has 288 divisors, whose sum is σ = 43157237760. Its totient is φ = 3353011200.

The previous prime is 13385421523. The next prime is 13385421607. The reversal of 13385421540 is 4512458331.

13385421540 is a `hidden beast` number, since 1 + 33 + 85 + 4 + 2 + 1 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13385421495 and 13385421504.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40439175 + ... + 40439505.

It is an arithmetic number, because the mean of its divisors is an integer number (149851520).

Almost surely, 2^13385421540 is an apocalyptic number.

13385421540 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 13385421540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21578618880).

13385421540 is an abundant number, since it is smaller than the sum of its proper divisors (29771816220).

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

13385421540 is a wasteful number, since it uses less digits than its factorization.

13385421540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 13385421540 its reverse (4512458331), we get a palindrome (17897879871).

The spelling of 13385421540 in words is "thirteen billion, three hundred eighty-five million, four hundred twenty-one thousand, five hundred forty".