405272563532928 has 1152 divisors, whose sum is σ = 1499337128016000. Its totient is φ = 106881665439744.

The previous prime is 405272563532927. The next prime is 405272563532933. The reversal of 405272563532928 is 829235365272504.

405272563532928 is a `hidden beast` number, since 4 + 0 + 5 + 2 + 7 + 2 + 5 + 6 + 3 + 532 + 92 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (405272563532927) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12915391543 + ... + 12915422921.

It is an arithmetic number, because the mean of its divisors is an integer number (1301507923625).

Almost surely, 2^{405272563532928} is an apocalyptic number.

405272563532928 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 405272563532928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749668564008000).

405272563532928 is an abundant number, since it is smaller than the sum of its proper divisors (1094064564483072).

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

405272563532928 is an frugal number, since it uses more digits than its factorization.

405272563532928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31463 (or 31404 counting only the distinct ones).

The product of its (nonzero) digits is 217728000, while the sum is 63.

The spelling of 405272563532928 in words is "four hundred five trillion, two hundred seventy-two billion, five hundred sixty-three million, five hundred thirty-two thousand, nine hundred twenty-eight".