40035330427600 has 120 divisors (see below), whose sum is σ = 96586556106680. Its totient is φ = 15947321333760.

The previous prime is 40035330427553. The next prime is 40035330427627. The reversal of 40035330427600 is 672403353004.

It can be written as a sum of positive squares in 12 ways, for example, as 11036933107344 + 28998397320256 = 3322188^2 + 5385016^2 .

It is a super-2 number, since 2×40035330427600² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40035330427600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198120214 + ... + 198322186.

Almost surely, 2^{40035330427600} is an apocalyptic number.

40035330427600 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 40035330427600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48293278053340).

40035330427600 is an abundant number, since it is smaller than the sum of its proper divisors (56551225679080).

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

40035330427600 is a wasteful number, since it uses less digits than its factorization.

40035330427600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204057 (or 204046 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 37.

The spelling of 40035330427600 in words is "forty trillion, thirty-five billion, three hundred thirty million, four hundred twenty-seven thousand, six hundred".