40098837526020 has 432 divisors, whose sum is σ = 157629926104560. Its totient is φ = 8168674977792.

The previous prime is 40098837526001. The next prime is 40098837526021. The reversal of 40098837526020 is 2062573889004.

40098837526020 is a `hidden beast` number, since 4 + 0 + 0 + 9 + 8 + 8 + 375 + 260 + 2 + 0 = 666.

40098837526020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 266355081216 + 39832482444804 = 516096^2 + 6311298^2 .

It is not an unprimeable number, because it can be changed into a prime (40098837526021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2704507 + ... + 9354786.

It is an arithmetic number, because the mean of its divisors is an integer number (364884088205).

Almost surely, 2^{40098837526020} 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 40098837526020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78814963052280).

40098837526020 is an abundant number, since it is smaller than the sum of its proper divisors (117531088578540).

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

40098837526020 is a wasteful number, since it uses less digits than its factorization.

40098837526020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12059364 (or 12059352 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 40098837526020 in words is "forty trillion, ninety-eight billion, eight hundred thirty-seven million, five hundred twenty-six thousand, twenty".