4339873391040 has 1008 divisors, whose sum is σ = 17565515735040. Its totient is φ = 1018083686400.

The previous prime is 4339873390967. The next prime is 4339873391041. The reversal of 4339873391040 is 401933789334.

4339873391040 is a `hidden beast` number, since 433 + 9 + 8 + 73 + 39 + 104 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4339873391041) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 291670321 + ... + 291685199.

It is an arithmetic number, because the mean of its divisors is an integer number (17426106880).

Almost surely, 2^{4339873391040} is an apocalyptic number.

4339873391040 is a gapful number since it is divisible by the number (40) 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 4339873391040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8782757867520).

4339873391040 is an abundant number, since it is smaller than the sum of its proper divisors (13225642344000).

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

4339873391040 is a wasteful number, since it uses less digits than its factorization.

4339873391040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14964 (or 14931 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 4339873391040 in words is "four trillion, three hundred thirty-nine billion, eight hundred seventy-three million, three hundred ninety-one thousand, forty".