13820001840 has 80 divisors (see below), whose sum is σ = 47602236000. Its totient is φ = 3685333248.

The previous prime is 13820001809. The next prime is 13820001857. The reversal of 13820001840 is 4810002831.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3196915 + ... + 3201234.

It is an arithmetic number, because the mean of its divisors is an integer number (595027950).

Almost surely, 2^13820001840 is an apocalyptic number.

13820001840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13820001840 is an abundant number, since it is smaller than the sum of its proper divisors (33782234160).

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

13820001840 is a wasteful number, since it uses less digits than its factorization.

13820001840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6398171 (or 6398159 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Subtracting from 13820001840 its reverse (4810002831), we obtain a palindrome (9009999009).

The spelling of 13820001840 in words is "thirteen billion, eight hundred twenty million, one thousand, eight hundred forty".