405352218624 has 176 divisors, whose sum is σ = 1138166062080. Its totient is φ = 127968215040.

The previous prime is 405352218617. The next prime is 405352218647. The reversal of 405352218624 is 426812253504.

It is a super-2 number, since 2×405352218624² (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 7 ways as a sum of consecutive naturals, for example, 119535969 + ... + 119539359.

Almost surely, 2^405352218624 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 405352218624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569083031040).

405352218624 is an abundant number, since it is smaller than the sum of its proper divisors (732813843456).

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

405352218624 is an frugal number, since it uses more digits than its factorization.

405352218624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3455 (or 3415 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 405352218624 in words is "four hundred five billion, three hundred fifty-two million, two hundred eighteen thousand, six hundred twenty-four".