424204040000 has 560 divisors, whose sum is σ = 1177870223376. Its totient is φ = 150528000000.

The previous prime is 424204039969. The next prime is 424204040011. The reversal of 424204040000 is 40402424.

It can be written as a sum of positive squares in 40 ways, for example, as 415137953344 + 9066086656 = 644312^2 + 95216^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2153319902 + ... + 2153320098.

Almost surely, 2^424204040000 is an apocalyptic number.

424204040000 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 424204040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588935111688).

424204040000 is an abundant number, since it is smaller than the sum of its proper divisors (753666183376).

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

424204040000 is a wasteful number, since it uses less digits than its factorization.

424204040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 424204040000 its reverse (40402424), we get a palindrome (424244442424).

The spelling of 424204040000 in words is "four hundred twenty-four billion, two hundred four million, forty thousand".