40272617160 has 192 divisors, whose sum is σ = 140538602880. Its totient is φ = 9965168640.

The previous prime is 40272617141. The next prime is 40272617167. The reversal of 40272617160 is 6171627204.

40272617160 is a `hidden beast` number, since 4 + 0 + 27 + 2 + 617 + 16 + 0 = 666.

40272617160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (40272617167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 388179 + ... + 480861.

It is an arithmetic number, because the mean of its divisors is an integer number (731971890).

Almost surely, 2^40272617160 is an apocalyptic number.

40272617160 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 40272617160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70269301440).

40272617160 is an abundant number, since it is smaller than the sum of its proper divisors (100265985720).

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

40272617160 is a wasteful number, since it uses less digits than its factorization.

40272617160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92788 (or 92781 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 40272617160 in words is "forty billion, two hundred seventy-two million, six hundred seventeen thousand, one hundred sixty".