40127565280 has 384 divisors, whose sum is σ = 112021056000. Its totient is φ = 13430292480.

The previous prime is 40127565277. The next prime is 40127565281. The reversal of 40127565280 is 8256572104.

It is a super-2 number, since 2×40127565280² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40127565281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 288687451 + ... + 288687589.

It is an arithmetic number, because the mean of its divisors is an integer number (291721500).

Almost surely, 2^40127565280 is an apocalyptic number.

40127565280 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 40127565280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56010528000).

40127565280 is an abundant number, since it is smaller than the sum of its proper divisors (71893490720).

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

40127565280 is a wasteful number, since it uses less digits than its factorization.

40127565280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The spelling of 40127565280 in words is "forty billion, one hundred twenty-seven million, five hundred sixty-five thousand, two hundred eighty".