13332003840 has 880 divisors, whose sum is σ = 53072388864. Its totient is φ = 3185049600.

The previous prime is 13332003829. The next prime is 13332003991. The reversal of 13332003840 is 4830023331.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 218557410 + ... + 218557470.

Almost surely, 2^13332003840 is an apocalyptic number.

13332003840 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 13332003840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26536194432).

13332003840 is an abundant number, since it is smaller than the sum of its proper divisors (39740385024).

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

13332003840 is a wasteful number, since it uses less digits than its factorization.

13332003840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 13332003840 in words is "thirteen billion, three hundred thirty-two million, three thousand, eight hundred forty".