40998999600 has 720 divisors, whose sum is σ = 163960130880. Its totient is φ = 9407692800.

The previous prime is 40998999593. The next prime is 40998999611. The reversal of 40998999600 is 699989904.

40998999600 is a `hidden beast` number, since 409 + 9 + 89 + 99 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 143 ways as a sum of consecutive naturals, for example, 44131936 + ... + 44132864.

It is an arithmetic number, because the mean of its divisors is an integer number (227722404).

Almost surely, 2^40998999600 is an apocalyptic number.

40998999600 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 40998999600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81980065440).

40998999600 is an abundant number, since it is smaller than the sum of its proper divisors (122961131280).

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

40998999600 is a wasteful number, since it uses less digits than its factorization.

40998999600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 11337408, while the sum is 63.

The spelling of 40998999600 in words is "forty billion, nine hundred ninety-eight million, nine hundred ninety-nine thousand, six hundred".