40271616000 has 1152 divisors, whose sum is σ = 181772398080. Its totient is φ = 8331264000.

The previous prime is 40271615999. The next prime is 40271616023. The reversal of 40271616000 is 61617204.

40271616000 is a `hidden beast` number, since 40 + 2 + 7 + 1 + 616 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 177407887 + ... + 177408113.

It is an arithmetic number, because the mean of its divisors is an integer number (157788540).

Almost surely, 2^40271616000 is an apocalyptic number.

40271616000 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 40271616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90886199040).

40271616000 is an abundant number, since it is smaller than the sum of its proper divisors (141500782080).

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

40271616000 is a wasteful number, since it uses less digits than its factorization.

40271616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 40271616000 in words is "forty billion, two hundred seventy-one million, six hundred sixteen thousand".