424391119738040 has 1024 divisors, whose sum is σ = 1238358481920000. Its totient is φ = 129987587358720.

The previous prime is 424391119737947. The next prime is 424391119738139. The reversal of 424391119738040 is 40837911193424.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 871439670677 + ... + 871439671163.

It is an arithmetic number, because the mean of its divisors is an integer number (1209334455000).

Almost surely, 2^{424391119738040} is an apocalyptic number.

424391119738040 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 424391119738040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619179240960000).

424391119738040 is an abundant number, since it is smaller than the sum of its proper divisors (813967362181960).

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

424391119738040 is a wasteful number, since it uses less digits than its factorization.

424391119738040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 56.

The spelling of 424391119738040 in words is "four hundred twenty-four trillion, three hundred ninety-one billion, one hundred nineteen million, seven hundred thirty-eight thousand, forty".