4342855007040 has 448 divisors, whose sum is σ = 16050713379840. Its totient is φ = 983735746560.

The previous prime is 4342855007011. The next prime is 4342855007041. The reversal of 4342855007040 is 407005582434.

4342855007040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4342855007040² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4342855006983 and 4342855007001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4342855007041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14498467 + ... + 14794973.

Almost surely, 2^{4342855007040} is an apocalyptic number.

4342855007040 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 4342855007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8025356689920).

4342855007040 is an abundant number, since it is smaller than the sum of its proper divisors (11707858372800).

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

4342855007040 is a wasteful number, since it uses less digits than its factorization.

4342855007040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296630 (or 296620 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 42.

The spelling of 4342855007040 in words is "four trillion, three hundred forty-two billion, eight hundred fifty-five million, seven thousand, forty".