40089081600 has 432 divisors, whose sum is σ = 148522681440. Its totient is φ = 10579968000.

The previous prime is 40089081587. The next prime is 40089081619. The reversal of 40089081600 is 618098004.

It is a happy number.

40089081600 is a `hidden beast` number, since 40 + 0 + 8 + 9 + 0 + 8 + 1 + 600 = 666.

40089081600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17451652 + ... + 17453948.

Almost surely, 2^40089081600 is an apocalyptic number.

40089081600 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 40089081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74261340720).

40089081600 is an abundant number, since it is smaller than the sum of its proper divisors (108433599840).

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

40089081600 is a wasteful number, since it uses less digits than its factorization.

40089081600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2433 (or 2408 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 40089081600 in words is "forty billion, eighty-nine million, eighty-one thousand, six hundred".