40127441280 has 512 divisors, whose sum is σ = 140652288000. Its totient is φ = 9699655680.

The previous prime is 40127441261. The next prime is 40127441281. The reversal of 40127441280 is 8214472104.

It is a super-2 number, since 2×40127441280² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40127441281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66990421 + ... + 66991019.

It is an arithmetic number, because the mean of its divisors is an integer number (274711500).

Almost surely, 2^40127441280 is an apocalyptic number.

40127441280 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 40127441280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70326144000).

40127441280 is an abundant number, since it is smaller than the sum of its proper divisors (100524846720).

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

40127441280 is a wasteful number, since it uses less digits than its factorization.

40127441280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The spelling of 40127441280 in words is "forty billion, one hundred twenty-seven million, four hundred forty-one thousand, two hundred eighty".