405456814080 has 912 divisors, whose sum is σ = 1557258218880. Its totient is φ = 100902371328.

The previous prime is 405456814073. The next prime is 405456814097. The reversal of 405456814080 is 80418654504.

It is a happy number.

405456814080 is a `hidden beast` number, since 4 + 0 + 5 + 4 + 568 + 1 + 4 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (912).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6051594207 + ... + 6051594273.

Almost surely, 2^405456814080 is an apocalyptic number.

405456814080 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 405456814080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778629109440).

405456814080 is an abundant number, since it is smaller than the sum of its proper divisors (1151801404800).

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

405456814080 is an frugal number, since it uses more digits than its factorization.

405456814080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 405456814080 in words is "four hundred five billion, four hundred fifty-six million, eight hundred fourteen thousand, eighty".