405122674104320 has 96 divisors (see below), whose sum is σ = 972156441306960. Its totient is φ = 162032498933760.

The previous prime is 405122674104301. The next prime is 405122674104383. The reversal of 405122674104320 is 23401476221504.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 98364830 + ... + 102400610.

Almost surely, 2^{405122674104320} is an apocalyptic number.

405122674104320 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 405122674104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486078220653480).

405122674104320 is an abundant number, since it is smaller than the sum of its proper divisors (567033767202640).

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

405122674104320 is an equidigital number, since it uses as much as digits as its factorization.

405122674104320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4045611 (or 4045591 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 41.

The spelling of 405122674104320 in words is "four hundred five trillion, one hundred twenty-two billion, six hundred seventy-four million, one hundred four thousand, three hundred twenty".