405245104000000 has 616 divisors, whose sum is σ = 1107801110276784. Its totient is φ = 146942976000000.

The previous prime is 405245103999997. The next prime is 405245104000013. The reversal of 405245104000000 is 401542504.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 65647996914 + ... + 65648003086.

It is an arithmetic number, because the mean of its divisors is an integer number (1798378425774).

Almost surely, 2^{405245104000000} is an apocalyptic number.

405245104000000 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 405245104000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553900555138392).

405245104000000 is an abundant number, since it is smaller than the sum of its proper divisors (702556006276784).

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

405245104000000 is an frugal number, since it uses more digits than its factorization.

405245104000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6607 (or 6564 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 405245104000000 its reverse (401542504), we get a palindrome (405245505542504).

The spelling of 405245104000000 in words is "four hundred five trillion, two hundred forty-five billion, one hundred four million", and thus it is an aban number.