40434021240 has 256 divisors, whose sum is σ = 126324817920. Its totient is φ = 10346434560.

The previous prime is 40434021223. The next prime is 40434021253. The reversal of 40434021240 is 4212043404.

It is a happy number.

It is a super-2 number, since 2×40434021240² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 40434021240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101848722 + ... + 101849118.

It is an arithmetic number, because the mean of its divisors is an integer number (493456320).

Almost surely, 2^40434021240 is an apocalyptic number.

40434021240 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 40434021240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63162408960).

40434021240 is an abundant number, since it is smaller than the sum of its proper divisors (85890796680).

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

40434021240 is a wasteful number, since it uses less digits than its factorization.

40434021240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 40434021240 its reverse (4212043404), we get a palindrome (44646064644).

The spelling of 40434021240 in words is "forty billion, four hundred thirty-four million, twenty-one thousand, two hundred forty".