424345299840 has 1152 divisors, whose sum is σ = 1878980613120. Its totient is φ = 87253770240.

The previous prime is 424345299821. The next prime is 424345299887. The reversal of 424345299840 is 48992543424.

424345299840 is a `hidden beast` number, since 4 + 2 + 4 + 34 + 529 + 9 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 143 ways as a sum of consecutive naturals, for example, 319777257 + ... + 319778583.

It is an arithmetic number, because the mean of its divisors is an integer number (1631059560).

Almost surely, 2^424345299840 is an apocalyptic number.

424345299840 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 424345299840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939490306560).

424345299840 is an abundant number, since it is smaller than the sum of its proper divisors (1454635313280).

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

424345299840 is a wasteful number, since it uses less digits than its factorization.

424345299840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 424345299840 in words is "four hundred twenty-four billion, three hundred forty-five million, two hundred ninety-nine thousand, eight hundred forty".