424541399040 has 1920 divisors, whose sum is σ = 1826592768000. Its totient is φ = 93162700800.

The previous prime is 424541399033. The next prime is 424541399147. The reversal of 424541399040 is 40993145424.

424541399040 is a `hidden beast` number, since 42 + 454 + 1 + 39 + 90 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5373941721 + ... + 5373941799.

It is an arithmetic number, because the mean of its divisors is an integer number (951350400).

Almost surely, 2^424541399040 is an apocalyptic number.

424541399040 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 424541399040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913296384000).

424541399040 is an abundant number, since it is smaller than the sum of its proper divisors (1402051368960).

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

424541399040 is a wasteful number, since it uses less digits than its factorization.

424541399040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 424541399040 in words is "four hundred twenty-four billion, five hundred forty-one million, three hundred ninety-nine thousand, forty".