40295162016 has 288 divisors, whose sum is σ = 129895653888. Its totient is φ = 12232581120.

The previous prime is 40295161987. The next prime is 40295162027. The reversal of 40295162016 is 61026159204.

40295162016 is a `hidden beast` number, since 4 + 0 + 29 + 5 + 1 + 620 + 1 + 6 = 666.

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, 4093036 + ... + 4102868.

It is an arithmetic number, because the mean of its divisors is an integer number (451026576).

Almost surely, 2^40295162016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40295162016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64947826944).

40295162016 is an abundant number, since it is smaller than the sum of its proper divisors (89600491872).

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

40295162016 is a wasteful number, since it uses less digits than its factorization.

40295162016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9906 (or 9886 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 40295162016 in words is "forty billion, two hundred ninety-five million, one hundred sixty-two thousand, sixteen".