40088352000 has 288 divisors, whose sum is σ = 135683009280. Its totient is φ = 10487193600.

The previous prime is 40088351999. The next prime is 40088352041. The reversal of 40088352000 is 25388004.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5084061 + ... + 5091939.

It is an arithmetic number, because the mean of its divisors is an integer number (471121560).

Almost surely, 2^40088352000 is an apocalyptic number.

40088352000 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 40088352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67841504640).

40088352000 is an abundant number, since it is smaller than the sum of its proper divisors (95594657280).

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

40088352000 is an equidigital number, since it uses as much as digits as its factorization.

40088352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7966 (or 7942 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 40088352000 in words is "forty billion, eighty-eight million, three hundred fifty-two thousand".