14200840920 has 384 divisors, whose sum is σ = 52859520000. Its totient is φ = 3034257408.

The previous prime is 14200840879. The next prime is 14200840937. The reversal of 14200840920 is 2904800241.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8825076 + ... + 8826684.

It is an arithmetic number, because the mean of its divisors is an integer number (137655000).

Almost surely, 2^14200840920 is an apocalyptic number.

14200840920 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 14200840920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26429760000).

14200840920 is an abundant number, since it is smaller than the sum of its proper divisors (38658679080).

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

14200840920 is a wasteful number, since it uses less digits than its factorization.

14200840920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1735 (or 1724 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 14200840920 in words is "fourteen billion, two hundred million, eight hundred forty thousand, nine hundred twenty".