424115535320000 has 560 divisors, whose sum is σ = 1124264490201600. Its totient is φ = 158225633280000.

The previous prime is 424115535319997. The next prime is 424115535320003. The reversal of 424115535320000 is 23535511424.

It is an interprime number because it is at equal distance from previous prime (424115535319997) and next prime (424115535320003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424115535320003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21194109995 + ... + 21194130005.

Almost surely, 2^{424115535320000} is an apocalyptic number.

424115535320000 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 424115535320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562132245100800).

424115535320000 is an abundant number, since it is smaller than the sum of its proper divisors (700148954881600).

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

424115535320000 is a wasteful number, since it uses less digits than its factorization.

424115535320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20494 (or 20469 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The spelling of 424115535320000 in words is "four hundred twenty-four trillion, one hundred fifteen billion, five hundred thirty-five million, three hundred twenty thousand".