405404302120000 has 140 divisors (see below), whose sum is σ = 1005309638935756. Its totient is φ = 162155473920000.

The previous prime is 405404302119983. The next prime is 405404302120009. The reversal of 405404302120000 is 21203404504.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 397566273196096 + 7838028923904 = 19939064^2 + 2799648^2 .

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

It is not an unprimeable number, because it can be changed into a prime (405404302120009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1118258764 + ... + 1118621236.

Almost surely, 2^{405404302120000} is an apocalyptic number.

405404302120000 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 405404302120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502654819467878).

405404302120000 is an abundant number, since it is smaller than the sum of its proper divisors (599905336815756).

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

405404302120000 is an equidigital number, since it uses as much as digits as its factorization.

405404302120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390466 (or 390441 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 405404302120000 its reverse (21203404504), we get a palindrome (405425505524504).

The spelling of 405404302120000 in words is "four hundred five trillion, four hundred four billion, three hundred two million, one hundred twenty thousand".