40114515168 has 480 divisors, whose sum is σ = 152860055040. Its totient is φ = 10021708800.

The previous prime is 40114515139. The next prime is 40114515173. The reversal of 40114515168 is 86151541104.

40114515168 is a `hidden beast` number, since 40 + 1 + 1 + 451 + 5 + 168 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4477093 + ... + 4486043.

It is an arithmetic number, because the mean of its divisors is an integer number (318458448).

Almost surely, 2^40114515168 is an apocalyptic number.

40114515168 is a gapful number since it is divisible by the number (48) 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 40114515168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76430027520).

40114515168 is an abundant number, since it is smaller than the sum of its proper divisors (112745539872).

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

40114515168 is a wasteful number, since it uses less digits than its factorization.

40114515168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9012 (or 8995 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 40114515168 in words is "forty billion, one hundred fourteen million, five hundred fifteen thousand, one hundred sixty-eight".