40884084000 has 288 divisors, whose sum is σ = 150104813040. Its totient is φ = 10526208000.

The previous prime is 40884083957. The next prime is 40884084053. The reversal of 40884084000 is 48048804.

It can be written as a sum of positive squares in 8 ways, for example, as 1150837776 + 39733246224 = 33924^2 + 199332^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 1024420 + ... + 1063580.

Almost surely, 2^40884084000 is an apocalyptic number.

40884084000 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 40884084000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75052406520).

40884084000 is an abundant number, since it is smaller than the sum of its proper divisors (109220729040).

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

40884084000 is a wasteful number, since it uses less digits than its factorization.

40884084000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39221 (or 39200 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 40884084000 in words is "forty billion, eight hundred eighty-four million, eighty-four thousand".