405352083601920 has 1920 divisors, whose sum is σ = 1648863710968320. Its totient is φ = 84191194644480.

The previous prime is 405352083601903. The next prime is 405352083601973. The reversal of 405352083601920 is 29106380253504.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×405352083601920² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 405352083601920.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 104931937909 + ... + 104931941771.

It is an arithmetic number, because the mean of its divisors is an integer number (858783182796).

Almost surely, 2^{405352083601920} is an apocalyptic number.

405352083601920 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 405352083601920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824431855484160).

405352083601920 is an abundant number, since it is smaller than the sum of its proper divisors (1243511627366400).

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

405352083601920 is a wasteful number, since it uses less digits than its factorization.

405352083601920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4246 (or 4223 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 405352083601920 in words is "four hundred five trillion, three hundred fifty-two billion, eighty-three million, six hundred one thousand, nine hundred twenty".