40216095000 has 400 divisors, whose sum is σ = 142205104800. Its totient is φ = 10614240000.

The previous prime is 40216094993. The next prime is 40216095041. The reversal of 40216095000 is 59061204.

40216095000 is a `hidden beast` number, since 4 + 0 + 2 + 1 + 609 + 50 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 44144545 + ... + 44145455.

It is an arithmetic number, because the mean of its divisors is an integer number (355512762).

Almost surely, 2^40216095000 is an apocalyptic number.

40216095000 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 40216095000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71102552400).

40216095000 is an abundant number, since it is smaller than the sum of its proper divisors (101989009800).

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

40216095000 is a wasteful number, since it uses less digits than its factorization.

40216095000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 40216095000 in words is "forty billion, two hundred sixteen million, ninety-five thousand".