845140040 has 96 divisors (see below), whose sum is σ = 2090485800. Its totient is φ = 307077120.

The previous prime is 845140031. The next prime is 845140117. The reversal of 845140040 is 40041548.

It can be written as a sum of positive squares in 12 ways, for example, as 52041796 + 793098244 = 7214^2 + 28162^2 .

It is a super-2 number, since 2×845140040² = 1428523374422403200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 845139991 and 845140009.

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, 333980 + ... + 336500.

Almost surely, 2^845140040 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 845140040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045242900).

845140040 is an abundant number, since it is smaller than the sum of its proper divisors (1245345760).

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

845140040 is a wasteful number, since it uses less digits than its factorization.

845140040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2595 (or 2574 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

The square root of 845140040 is about 29071.2923689333. The cubic root of 845140040 is about 945.4594184682.

Adding to 845140040 its reverse (40041548), we get a palindrome (885181588).

The spelling of 845140040 in words is "eight hundred forty-five million, one hundred forty thousand, forty".