407238810468672 has 1792 divisors, whose sum is σ = 1491187719168000. Its totient is φ = 95036444246016.

The previous prime is 407238810468617. The next prime is 407238810468673. The reversal of 407238810468672 is 276864018832704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407238810468673) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 54378259104 + ... + 54378266592.

It is an arithmetic number, because the mean of its divisors is an integer number (832136004000).

Almost surely, 2^{407238810468672} is an apocalyptic number.

407238810468672 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 407238810468672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745593859584000).

407238810468672 is an abundant number, since it is smaller than the sum of its proper divisors (1083948908699328).

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

407238810468672 is a wasteful number, since it uses less digits than its factorization.

407238810468672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7736 (or 7726 counting only the distinct ones).

The product of its (nonzero) digits is 173408256, while the sum is 66.

The spelling of 407238810468672 in words is "four hundred seven trillion, two hundred thirty-eight billion, eight hundred ten million, four hundred sixty-eight thousand, six hundred seventy-two".