601063052113440 has 768 divisors, whose sum is σ = 2546450757043200. Its totient is φ = 129265110614016.

The previous prime is 601063052113411. The next prime is 601063052113441. The reversal of 601063052113440 is 44311250360106.

601063052113440 is a `hidden beast` number, since 6 + 0 + 1 + 0 + 6 + 305 + 2 + 1 + 1 + 344 + 0 = 666.

It is a super-2 number, since 2×601063052113440² (a number of 30 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 601063052113395 and 601063052113404.

It is not an unprimeable number, because it can be changed into a prime (601063052113441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1711196712 + ... + 1711547928.

It is an arithmetic number, because the mean of its divisors is an integer number (3315691089900).

Almost surely, 2^{601063052113440} is an apocalyptic number.

601063052113440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 601063052113440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273225378521600).

601063052113440 is an abundant number, since it is smaller than the sum of its proper divisors (1945387704929760).

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

601063052113440 is a wasteful number, since it uses less digits than its factorization.

601063052113440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354594 (or 354580 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 601063052113440 in words is "six hundred one trillion, sixty-three billion, fifty-two million, one hundred thirteen thousand, four hundred forty".