40052005560 has 384 divisors, whose sum is σ = 154310832000. Its totient is φ = 8815177728.

The previous prime is 40052005547. The next prime is 40052005561. The reversal of 40052005560 is 6550025004.

40052005560 is a `hidden beast` number, since 400 + 5 + 200 + 5 + 56 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40052005561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51813334 + ... + 51814106.

It is an arithmetic number, because the mean of its divisors is an integer number (401851125).

Almost surely, 2^40052005560 is an apocalyptic number.

40052005560 is a gapful number since it is divisible by the number (40) 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 40052005560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77155416000).

40052005560 is an abundant number, since it is smaller than the sum of its proper divisors (114258826440).

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

40052005560 is a wasteful number, since it uses less digits than its factorization.

40052005560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The spelling of 40052005560 in words is "forty billion, fifty-two million, five thousand, five hundred sixty".