405709950472128 has 336 divisors, whose sum is σ = 1210825303349376. Its totient is φ = 129775933347840.

The previous prime is 405709950472111. The next prime is 405709950472139. The reversal of 405709950472128 is 821274059907504.

405709950472128 is a `hidden beast` number, since 4 + 0 + 5 + 7 + 0 + 99 + 50 + 472 + 1 + 28 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 454629375 + ... + 455520897.

Almost surely, 2^{405709950472128} is an apocalyptic number.

405709950472128 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 405709950472128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605412651674688).

405709950472128 is an abundant number, since it is smaller than the sum of its proper divisors (805115352877248).

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

405709950472128 is a wasteful number, since it uses less digits than its factorization.

405709950472128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891872 (or 891859 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 405709950472128 in words is "four hundred five trillion, seven hundred nine billion, nine hundred fifty million, four hundred seventy-two thousand, one hundred twenty-eight".