413333414240 has 48 divisors (see below), whose sum is σ = 983053940400. Its totient is φ = 164223736320.

The previous prime is 413333414239. The next prime is 413333414257. The reversal of 413333414240 is 42414333314.

It is a super-2 number, since 2×413333414240² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 413333414197 and 413333414206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8645066 + ... + 8692745.

It is an arithmetic number, because the mean of its divisors is an integer number (20480290425).

Almost surely, 2^413333414240 is an apocalyptic number.

413333414240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413333414240 is an abundant number, since it is smaller than the sum of its proper divisors (569720526160).

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

413333414240 is a wasteful number, since it uses less digits than its factorization.

413333414240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17337975 (or 17337967 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 413333414240 its reverse (42414333314), we get a palindrome (455747747554).

The spelling of 413333414240 in words is "four hundred thirteen billion, three hundred thirty-three million, four hundred fourteen thousand, two hundred forty".