40200041024 has 168 divisors, whose sum is σ = 94963228920. Its totient is φ = 16771645440.

The previous prime is 40200041023. The next prime is 40200041047. The reversal of 40200041024 is 42014000204.

It can be written as a sum of positive squares in 4 ways, for example, as 646786624 + 39553254400 = 25432^2 + 198880^2 .

It is a junction number, because it is equal to n+sod(n) for n = 40200040993 and 40200041011.

It is not an unprimeable number, because it can be changed into a prime (40200041023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19428662 + ... + 19430730.

It is an arithmetic number, because the mean of its divisors is an integer number (565257315).

Almost surely, 2^40200041024 is an apocalyptic number.

40200041024 is a gapful number since it is divisible by the number (44) 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 40200041024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47481614460).

40200041024 is an abundant number, since it is smaller than the sum of its proper divisors (54763187896).

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

40200041024 is a wasteful number, since it uses less digits than its factorization.

40200041024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2309 (or 2288 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 40200041024 its reverse (42014000204), we get a palindrome (82214041228).

The spelling of 40200041024 in words is "forty billion, two hundred million, forty-one thousand, twenty-four".