601125271040 has 640 divisors, whose sum is σ = 1785751418880. Its totient is φ = 189510451200.

The previous prime is 601125271013. The next prime is 601125271063. The reversal of 601125271040 is 40172521106.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×601125271040² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 601125270994 and 601125271012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2139235700 + ... + 2139235980.

It is an arithmetic number, because the mean of its divisors is an integer number (2790236592).

Almost surely, 2^601125271040 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 601125271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892875709440).

601125271040 is an abundant number, since it is smaller than the sum of its proper divisors (1184626147840).

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

601125271040 is a wasteful number, since it uses less digits than its factorization.

601125271040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

Adding to 601125271040 its reverse (40172521106), we get a palindrome (641297792146).

The spelling of 601125271040 in words is "six hundred one billion, one hundred twenty-five million, two hundred seventy-one thousand, forty".