405190242559872 has 1024 divisors, whose sum is σ = 1520141163724800. Its totient is φ = 103187108044800.

The previous prime is 405190242559813. The next prime is 405190242559873. The reversal of 405190242559872 is 278955242091504.

405190242559872 is a `hidden beast` number, since 4 + 0 + 5 + 1 + 9 + 0 + 2 + 4 + 2 + 559 + 8 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405190242559873) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22157274313 + ... + 22157292599.

It is an arithmetic number, because the mean of its divisors is an integer number (1484512855200).

Almost surely, 2^{405190242559872} is an apocalyptic number.

405190242559872 is a gapful number since it is divisible by the number (42) 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 405190242559872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760070581862400).

405190242559872 is an abundant number, since it is smaller than the sum of its proper divisors (1114950921164928).

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

405190242559872 is a wasteful number, since it uses less digits than its factorization.

405190242559872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19952 (or 19934 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 63.

The spelling of 405190242559872 in words is "four hundred five trillion, one hundred ninety billion, two hundred forty-two million, five hundred fifty-nine thousand, eight hundred seventy-two".