424111313040 has 320 divisors, whose sum is σ = 1363637721600. Its totient is φ = 108957007872.

The previous prime is 424111313027. The next prime is 424111313057. The reversal of 424111313040 is 40313111424.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 424111313040.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 551509776 + ... + 551510544.

It is an arithmetic number, because the mean of its divisors is an integer number (4261367880).

Almost surely, 2^424111313040 is an apocalyptic number.

424111313040 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 424111313040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681818860800).

424111313040 is an abundant number, since it is smaller than the sum of its proper divisors (939526408560).

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

424111313040 is a wasteful number, since it uses less digits than its factorization.

424111313040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 424111313040 its reverse (40313111424), we get a palindrome (464424424464).

The spelling of 424111313040 in words is "four hundred twenty-four billion, one hundred eleven million, three hundred thirteen thousand, forty".