424014377440 has 96 divisors (see below), whose sum is σ = 1012432750560. Its totient is φ = 167798974464.

The previous prime is 424014377419. The next prime is 424014377459. The reversal of 424014377440 is 44773410424.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 424014377393 and 424014377402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11893722 + ... + 11929318.

It is an arithmetic number, because the mean of its divisors is an integer number (10546174485).

Almost surely, 2^424014377440 is an apocalyptic number.

424014377440 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 424014377440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506216375280).

424014377440 is an abundant number, since it is smaller than the sum of its proper divisors (588418373120).

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

424014377440 is a wasteful number, since it uses less digits than its factorization.

424014377440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36404 (or 36396 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 40.

Adding to 424014377440 its reverse (44773410424), we get a palindrome (468787787864).

The spelling of 424014377440 in words is "four hundred twenty-four billion, fourteen million, three hundred seventy-seven thousand, four hundred forty".