413743311072 has 480 divisors, whose sum is σ = 1514513246400. Its totient is φ = 107887583232.

The previous prime is 413743311049. The next prime is 413743311077. The reversal of 413743311072 is 270113347314.

413743311072 is a `hidden beast` number, since 41 + 3 + 7 + 433 + 110 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413743311077) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20982754 + ... + 21002462.

It is an arithmetic number, because the mean of its divisors is an integer number (3155235930).

Almost surely, 2^413743311072 is an apocalyptic number.

413743311072 is a gapful number since it is divisible by the number (42) 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 413743311072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757256623200).

413743311072 is an abundant number, since it is smaller than the sum of its proper divisors (1100769935328).

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

413743311072 is a wasteful number, since it uses less digits than its factorization.

413743311072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19840 (or 19823 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

Adding to 413743311072 its reverse (270113347314), we get a palindrome (683856658386).

The spelling of 413743311072 in words is "four hundred thirteen billion, seven hundred forty-three million, three hundred eleven thousand, seventy-two".