601406034336 has 264 divisors, whose sum is σ = 1833486609024. Its totient is φ = 193983050880.

The previous prime is 601406034253. The next prime is 601406034391. The reversal of 601406034336 is 633430604106.

601406034336 is a `hidden beast` number, since 6 + 0 + 1 + 4 + 0 + 603 + 43 + 3 + 6 = 666.

It is a super-3 number, since 3×601406034336³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 601406034336.

It is an unprimeable number.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 58571475 + ... + 58581741.

Almost surely, 2^601406034336 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 601406034336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916743304512).

601406034336 is an abundant number, since it is smaller than the sum of its proper divisors (1232080574688).

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

601406034336 is an equidigital number, since it uses as much as digits as its factorization.

601406034336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10338 (or 10303 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 601406034336 in words is "six hundred one billion, four hundred six million, thirty-four thousand, three hundred thirty-six".