40144515241 has 32 divisors (see below), whose sum is σ = 44594388000. Its totient is φ = 35966042112.

The previous prime is 40144515217. The next prime is 40144515269. The reversal of 40144515241 is 14251544104.

It can be written as a sum of positive squares in 16 ways, for example, as 385641 + 40144129600 = 621^2 + 200360^2 .

It is not a de Polignac number, because 40144515241 - 2⁵ = 40144515209 is a prime.

It is a super-2 number, since 2×40144515241² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40144515841) 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, 17944575 + ... + 17946811.

It is an arithmetic number, because the mean of its divisors is an integer number (1393574625).

Almost surely, 2^40144515241 is an apocalyptic number.

It is an amenable number.

40144515241 is a deficient number, since it is larger than the sum of its proper divisors (4449872759).

40144515241 is a wasteful number, since it uses less digits than its factorization.

40144515241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2781.

The product of its (nonzero) digits is 12800, while the sum is 31.

The spelling of 40144515241 in words is "forty billion, one hundred forty-four million, five hundred fifteen thousand, two hundred forty-one".