40213500450340 has 216 divisors, whose sum is σ = 99110949167160. Its totient is φ = 13665484578816.

The previous prime is 40213500450287. The next prime is 40213500450373. The reversal of 40213500450340 is 4305400531204.

It can be written as a sum of positive squares in 4 ways, for example, as 26863012166116 + 13350488284224 = 5182954^2 + 3653832^2 .

It is a super-2 number, since 2×40213500450340² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12819093252 + ... + 12819096388.

It is an arithmetic number, because the mean of its divisors is an integer number (458846986885).

Almost surely, 2^{40213500450340} 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 40213500450340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49555474583580).

40213500450340 is an abundant number, since it is smaller than the sum of its proper divisors (58897448716820).

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

40213500450340 is a wasteful number, since it uses less digits than its factorization.

40213500450340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3867 (or 3619 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

Adding to 40213500450340 its reverse (4305400531204), we get a palindrome (44518900981544).

The spelling of 40213500450340 in words is "forty trillion, two hundred thirteen billion, five hundred million, four hundred fifty thousand, three hundred forty".