40008099600 has 360 divisors, whose sum is σ = 159498630720. Its totient is φ = 9097159680.

The previous prime is 40008099583. The next prime is 40008099623. The reversal of 40008099600 is 699080004.

40008099600 is a `hidden beast` number, since 40 + 0 + 0 + 8 + 0 + 9 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4960371 + ... + 4968429.

It is an arithmetic number, because the mean of its divisors is an integer number (443051752).

Almost surely, 2^40008099600 is an apocalyptic number.

40008099600 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 40008099600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79749315360).

40008099600 is an abundant number, since it is smaller than the sum of its proper divisors (119490531120).

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

40008099600 is a wasteful number, since it uses less digits than its factorization.

40008099600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8287 (or 8273 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 40008099600 in words is "forty billion, eight million, ninety-nine thousand, six hundred".