40024200330240 has 352 divisors, whose sum is σ = 146318496215040. Its totient is φ = 9147403862016.

The previous prime is 40024200330193. The next prime is 40024200330259. The reversal of 40024200330240 is 4203300242004.

It is a super-2 number, since 2×40024200330240² (a number of 28 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 40024200330240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1573327441 + ... + 1573352879.

Almost surely, 2^{40024200330240} is an apocalyptic number.

40024200330240 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 40024200330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73159248107520).

40024200330240 is an abundant number, since it is smaller than the sum of its proper divisors (106294295884800).

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

40024200330240 is a wasteful number, since it uses less digits than its factorization.

40024200330240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40107 (or 40089 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 40024200330240 its reverse (4203300242004), we get a palindrome (44227500572244).

The spelling of 40024200330240 in words is "forty trillion, twenty-four billion, two hundred million, three hundred thirty thousand, two hundred forty".