405025097568 has 384 divisors, whose sum is σ = 1352989016064. Its totient is φ = 103203072000.

The previous prime is 405025097567. The next prime is 405025097623. The reversal of 405025097568 is 865790520504.

It is a self number, because there is not a number n which added to its sum of digits gives 405025097568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405025097567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 284626905 + ... + 284628327.

It is an arithmetic number, because the mean of its divisors is an integer number (3523408896).

Almost surely, 2^405025097568 is an apocalyptic number.

405025097568 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 405025097568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676494508032).

405025097568 is an abundant number, since it is smaller than the sum of its proper divisors (947963918496).

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

405025097568 is a wasteful number, since it uses less digits than its factorization.

405025097568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2538 (or 2530 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 51.

The spelling of 405025097568 in words is "four hundred five billion, twenty-five million, ninety-seven thousand, five hundred sixty-eight".