406532667744 has 720 divisors, whose sum is σ = 1454951393280. Its totient is φ = 110897579520.

The previous prime is 406532667707. The next prime is 406532667769. The reversal of 406532667744 is 447766235604.

406532667744 is a `hidden beast` number, since 4 + 0 + 6 + 532 + 6 + 67 + 7 + 44 = 666.

406532667744 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 311041939 + ... + 311043245.

It is an arithmetic number, because the mean of its divisors is an integer number (2020765824).

Almost surely, 2^406532667744 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 406532667744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727475696640).

406532667744 is an abundant number, since it is smaller than the sum of its proper divisors (1048418725536).

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

406532667744 is a wasteful number, since it uses less digits than its factorization.

406532667744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1453 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 54.

The spelling of 406532667744 in words is "four hundred six billion, five hundred thirty-two million, six hundred sixty-seven thousand, seven hundred forty-four".