405880176768 has 512 divisors, whose sum is σ = 1243662336000. Its totient is φ = 116164608000.

The previous prime is 405880176763. The next prime is 405880176781. The reversal of 405880176768 is 867671088504.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (405880176763) 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, 1385256430 + ... + 1385256722.

It is an arithmetic number, because the mean of its divisors is an integer number (2429028000).

Almost surely, 2^405880176768 is an apocalyptic number.

405880176768 is a gapful number since it is divisible by the number (48) 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 405880176768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621831168000).

405880176768 is an abundant number, since it is smaller than the sum of its proper divisors (837782159232).

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

405880176768 is a wasteful number, since it uses less digits than its factorization.

405880176768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 60.

The spelling of 405880176768 in words is "four hundred five billion, eight hundred eighty million, one hundred seventy-six thousand, seven hundred sixty-eight".