408533067096 has 256 divisors, whose sum is σ = 1349080427520. Its totient is φ = 99809280000.

The previous prime is 408533067091. The next prime is 408533067119. The reversal of 408533067096 is 690760335804.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408533067091) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71657046 + ... + 71662746.

It is an arithmetic number, because the mean of its divisors is an integer number (5269845420).

Almost surely, 2^408533067096 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 408533067096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674540213760).

408533067096 is an abundant number, since it is smaller than the sum of its proper divisors (940547360424).

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

408533067096 is a wasteful number, since it uses less digits than its factorization.

408533067096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8026 (or 8022 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The spelling of 408533067096 in words is "four hundred eight billion, five hundred thirty-three million, sixty-seven thousand, ninety-six".