417232426240 has 576 divisors, whose sum is σ = 1219678935552. Its totient is φ = 133772083200.

The previous prime is 417232426231. The next prime is 417232426241. The reversal of 417232426240 is 42624232714.

It is a super-2 number, since 2×417232426240² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 417232426240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417232426241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 963585064 + ... + 963585496.

It is an arithmetic number, because the mean of its divisors is an integer number (2117498152).

Almost surely, 2^417232426240 is an apocalyptic number.

417232426240 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 417232426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609839467776).

417232426240 is an abundant number, since it is smaller than the sum of its proper divisors (802446509312).

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

417232426240 is a wasteful number, since it uses less digits than its factorization.

417232426240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 37.

Adding to 417232426240 its reverse (42624232714), we get a palindrome (459856658954).

The spelling of 417232426240 in words is "four hundred seventeen billion, two hundred thirty-two million, four hundred twenty-six thousand, two hundred forty".