334413061002 has 64 divisors (see below), whose sum is σ = 765666760320. Its totient is φ = 108123465600.

The previous prime is 334413060991. The next prime is 334413061009. The reversal of 334413061002 is 200160314433.

334413061002 is a `hidden beast` number, since 3 + 3 + 4 + 41 + 3 + 0 + 610 + 0 + 2 = 666.

It is a super-2 number, since 2×334413061002² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (334413061009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53524 + ... + 819567.

It is an arithmetic number, because the mean of its divisors is an integer number (11963543130).

Almost surely, 2^334413061002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334413061002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382833380160).

334413061002 is an abundant number, since it is smaller than the sum of its proper divisors (431253699318).

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

334413061002 is a wasteful number, since it uses less digits than its factorization.

334413061002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873316 (or 873310 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 334413061002 its reverse (200160314433), we get a palindrome (534573375435).

The spelling of 334413061002 in words is "three hundred thirty-four billion, four hundred thirteen million, sixty-one thousand, two".