405223261148160 has 2112 divisors, whose sum is σ = 1848656867645952. Its totient is φ = 79637451374592.

The previous prime is 405223261148159. The next prime is 405223261148219. The reversal of 405223261148160 is 61841162322504.

405223261148160 is a `hidden beast` number, since 4 + 0 + 5 + 2 + 23 + 2 + 611 + 4 + 8 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6914689419 + ... + 6914748021.

Almost surely, 2^{405223261148160} is an apocalyptic number.

405223261148160 is a gapful number since it is divisible by the number (40) 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 405223261148160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924328433822976).

405223261148160 is an abundant number, since it is smaller than the sum of its proper divisors (1443433606497792).

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

405223261148160 is a wasteful number, since it uses less digits than its factorization.

405223261148160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58768 (or 58747 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 405223261148160 in words is "four hundred five trillion, two hundred twenty-three billion, two hundred sixty-one million, one hundred forty-eight thousand, one hundred sixty".