4434120467040 has 768 divisors, whose sum is σ = 15950753280000. Its totient is φ = 1025564467200.

The previous prime is 4434120467027. The next prime is 4434120467071. The reversal of 4434120467040 is 407640214344.

It is a super-2 number, since 2×4434120467040² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4434120467040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8886012711 + ... + 8886013209.

It is an arithmetic number, because the mean of its divisors is an integer number (20769210000).

Almost surely, 2^{4434120467040} is an apocalyptic number.

4434120467040 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 4434120467040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7975376640000).

4434120467040 is an abundant number, since it is smaller than the sum of its proper divisors (11516632812960).

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

4434120467040 is a wasteful number, since it uses less digits than its factorization.

4434120467040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 39.

The spelling of 4434120467040 in words is "four trillion, four hundred thirty-four billion, one hundred twenty million, four hundred sixty-seven thousand, forty".