405253355202 has 160 divisors (see below), whose sum is σ = 961916894400. Its totient is φ = 127167086592.

The previous prime is 405253355197. The next prime is 405253355209. The reversal of 405253355202 is 202553352504.

405253355202 is a `hidden beast` number, since 4 + 0 + 52 + 53 + 3 + 552 + 0 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (405253355209) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 526987074 + ... + 526987842.

It is an arithmetic number, because the mean of its divisors is an integer number (6011980590).

Almost surely, 2^405253355202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405253355202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480958447200).

405253355202 is an abundant number, since it is smaller than the sum of its proper divisors (556663539198).

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

405253355202 is a wasteful number, since it uses less digits than its factorization.

405253355202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 36.

The spelling of 405253355202 in words is "four hundred five billion, two hundred fifty-three million, three hundred fifty-five thousand, two hundred two".