40586772480 has 544 divisors, whose sum is σ = 142689133440. Its totient is φ = 9814671360.

The previous prime is 40586772449. The next prime is 40586772487. The reversal of 40586772480 is 8427768504.

It is a super-2 number, since 2×40586772480² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40586772487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 765788134 + ... + 765788186.

Almost surely, 2^40586772480 is an apocalyptic number.

40586772480 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 40586772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71344566720).

40586772480 is an abundant number, since it is smaller than the sum of its proper divisors (102102360960).

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

40586772480 is an equidigital number, since it uses as much as digits as its factorization.

40586772480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 51.

The spelling of 40586772480 in words is "forty billion, five hundred eighty-six million, seven hundred seventy-two thousand, four hundred eighty".