40842988560 has 720 divisors, whose sum is σ = 161901304320. Its totient is φ = 9446976000.

The previous prime is 40842988523. The next prime is 40842988561. The reversal of 40842988560 is 6588924804.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 40842988497 and 40842988506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40842988561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 575253325 + ... + 575253395.

Almost surely, 2^40842988560 is an apocalyptic number.

40842988560 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 40842988560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80950652160).

40842988560 is an abundant number, since it is smaller than the sum of its proper divisors (121058315760).

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

40842988560 is a wasteful number, since it uses less digits than its factorization.

40842988560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 40842988560 in words is "forty billion, eight hundred forty-two million, nine hundred eighty-eight thousand, five hundred sixty".