405701899856 has 160 divisors (see below), whose sum is σ = 879310387200. Its totient is φ = 179792317440.

The previous prime is 405701899817. The next prime is 405701899877. The reversal of 405701899856 is 658998107504.

It is a super-3 number, since 3×405701899856³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 655414715 + ... + 655415333.

It is an arithmetic number, because the mean of its divisors is an integer number (5495689920).

Almost surely, 2^405701899856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405701899856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439655193600).

405701899856 is an abundant number, since it is smaller than the sum of its proper divisors (473608487344).

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

405701899856 is a wasteful number, since it uses less digits than its factorization.

405701899856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 62.

The spelling of 405701899856 in words is "four hundred five billion, seven hundred one million, eight hundred ninety-nine thousand, eight hundred fifty-six".