4342664443040 has 384 divisors, whose sum is σ = 13502293056000. Its totient is φ = 1306878074880.

The previous prime is 4342664442989. The next prime is 4342664443049. The reversal of 4342664443040 is 403444662434.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 4342664442982 and 4342664443000.

It is not an unprimeable number, because it can be changed into a prime (4342664443049) 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, 17382692 + ... + 17630748.

It is an arithmetic number, because the mean of its divisors is an integer number (35162221500).

Almost surely, 2^{4342664443040} is an apocalyptic number.

4342664443040 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 4342664443040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6751146528000).

4342664443040 is an abundant number, since it is smaller than the sum of its proper divisors (9159628612960).

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

4342664443040 is a wasteful number, since it uses less digits than its factorization.

4342664443040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248133 (or 248111 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 44.

The spelling of 4342664443040 in words is "four trillion, three hundred forty-two billion, six hundred sixty-four million, four hundred forty-three thousand, forty".