40312222240 has 96 divisors (see below), whose sum is σ = 98821389744. Its totient is φ = 15527116800.

The previous prime is 40312222217. The next prime is 40312222243. The reversal of 40312222240 is 4222221304.

It can be written as a sum of positive squares in 8 ways, for example, as 32516744976 + 7795477264 = 180324^2 + 88292^2 .

It is a super-3 number, since 3×40312222240³ (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (40312222243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 539140 + ... + 609340.

Almost surely, 2^40312222240 is an apocalyptic number.

40312222240 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 40312222240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49410694872).

40312222240 is an abundant number, since it is smaller than the sum of its proper divisors (58509167504).

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

40312222240 is a wasteful number, since it uses less digits than its factorization.

40312222240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70350 (or 70342 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 40312222240 its reverse (4222221304), we get a palindrome (44534443544).

The spelling of 40312222240 in words is "forty billion, three hundred twelve million, two hundred twenty-two thousand, two hundred forty".