405069299712 has 680 divisors, whose sum is σ = 1510340570112. Its totient is φ = 105106636800.

The previous prime is 405069299683. The next prime is 405069299731. The reversal of 405069299712 is 217992960504.

405069299712 is a `hidden beast` number, since 40 + 506 + 9 + 2 + 9 + 97 + 1 + 2 = 666.

It is a super-2 number, since 2×405069299712² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 408747537 + ... + 408748527.

Almost surely, 2^405069299712 is an apocalyptic number.

405069299712 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 405069299712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755170285056).

405069299712 is an abundant number, since it is smaller than the sum of its proper divisors (1105271270400).

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

405069299712 is an frugal number, since it uses more digits than its factorization.

405069299712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 405069299712 in words is "four hundred five billion, sixty-nine million, two hundred ninety-nine thousand, seven hundred twelve".