34401465133002 has 48 divisors (see below), whose sum is σ = 81317728282752. Its totient is φ = 10424023028160.

The previous prime is 34401465132997. The next prime is 34401465133097. The reversal of 34401465133002 is 20033156410443.

34401465133002 is a `hidden beast` number, since 34 + 40 + 1 + 46 + 513 + 30 + 0 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2404338 + ... + 8636189.

It is an arithmetic number, because the mean of its divisors is an integer number (1694119339224).

Almost surely, 2^{34401465133002} is an apocalyptic number.

34401465133002 is an abundant number, since it is smaller than the sum of its proper divisors (46916263149750).

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

34401465133002 is a wasteful number, since it uses less digits than its factorization.

34401465133002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11056283 (or 11056280 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 34401465133002 in words is "thirty-four trillion, four hundred one billion, four hundred sixty-five million, one hundred thirty-three thousand, two".