40212252340 has 96 divisors (see below), whose sum is σ = 92481086880. Its totient is φ = 14598144000.

The previous prime is 40212252329. The next prime is 40212252349. The reversal of 40212252340 is 4325221204.

40212252340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 29187672336 + 11024580004 = 170844^2 + 104998^2 .

It is a super-3 number, since 3×40212252340³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40212252349) 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, 4183540 + ... + 4193140.

It is an arithmetic number, because the mean of its divisors is an integer number (963344655).

Almost surely, 2^40212252340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40212252340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46240543440).

40212252340 is an abundant number, since it is smaller than the sum of its proper divisors (52268834540).

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

40212252340 is a wasteful number, since it uses less digits than its factorization.

40212252340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9893 (or 9891 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 40212252340 its reverse (4325221204), we get a palindrome (44537473544).

The spelling of 40212252340 in words is "forty billion, two hundred twelve million, two hundred fifty-two thousand, three hundred forty".