405276211648 has 112 divisors (see below), whose sum is σ = 1003128401664. Its totient is φ = 157826672640.

The previous prime is 405276211607. The next prime is 405276211657. The reversal of 405276211648 is 846112672504.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 405276211598 and 405276211607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11301715 + ... + 11337517.

Almost surely, 2^405276211648 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 405276211648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501564200832).

405276211648 is an abundant number, since it is smaller than the sum of its proper divisors (597852190016).

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

405276211648 is a wasteful number, since it uses less digits than its factorization.

405276211648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38130 (or 38120 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The spelling of 405276211648 in words is "four hundred five billion, two hundred seventy-six million, two hundred eleven thousand, six hundred forty-eight".