413340021240 has 192 divisors, whose sum is σ = 1323964310400. Its totient is φ = 102949136640.

The previous prime is 413340021203. The next prime is 413340021251. The reversal of 413340021240 is 42120043314.

It is a super-2 number, since 2×413340021240² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 413340021240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11475499 + ... + 11511461.

It is an arithmetic number, because the mean of its divisors is an integer number (6895647450).

Almost surely, 2^413340021240 is an apocalyptic number.

413340021240 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 413340021240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661982155200).

413340021240 is an abundant number, since it is smaller than the sum of its proper divisors (910624289160).

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

413340021240 is a wasteful number, since it uses less digits than its factorization.

413340021240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36138 (or 36063 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 413340021240 its reverse (42120043314), we get a palindrome (455460064554).

The spelling of 413340021240 in words is "four hundred thirteen billion, three hundred forty million, twenty-one thousand, two hundred forty".