407316060144 has 720 divisors, whose sum is σ = 1439565004800. Its totient is φ = 106845225984.

The previous prime is 407316060143. The next prime is 407316060149. The reversal of 407316060144 is 441060613704.

407316060144 is a `hidden beast` number, since 4 + 0 + 7 + 3 + 1 + 6 + 0 + 601 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 407316060099 and 407316060108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407316060143) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 800227762 + ... + 800228270.

It is an arithmetic number, because the mean of its divisors is an integer number (1999395840).

Almost surely, 2^407316060144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407316060144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719782502400).

407316060144 is an abundant number, since it is smaller than the sum of its proper divisors (1032248944656).

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

407316060144 is a wasteful number, since it uses less digits than its factorization.

407316060144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 407316060144 its reverse (441060613704), we get a palindrome (848376673848).

The spelling of 407316060144 in words is "four hundred seven billion, three hundred sixteen million, sixty thousand, one hundred forty-four".