405840196320 has 288 divisors, whose sum is σ = 1387160056800. Its totient is φ = 99692716032.

The previous prime is 405840196303. The next prime is 405840196331. The reversal of 405840196320 is 23691048504.

It is a super-2 number, since 2×405840196320² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41285166 + ... + 41294994.

It is an arithmetic number, because the mean of its divisors is an integer number (4816527975).

Almost surely, 2^405840196320 is an apocalyptic number.

405840196320 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 405840196320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693580028400).

405840196320 is an abundant number, since it is smaller than the sum of its proper divisors (981319860480).

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

405840196320 is a wasteful number, since it uses less digits than its factorization.

405840196320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10382 (or 10361 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 405840196320 in words is "four hundred five billion, eight hundred forty million, one hundred ninety-six thousand, three hundred twenty".