40134558187314 has 48 divisors (see below), whose sum is σ = 87118340225280. Its totient is φ = 13353561426240.

The previous prime is 40134558187259. The next prime is 40134558187349. The reversal of 40134558187314 is 41378185543104.

40134558187314 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 4 + 558 + 1 + 8 + 73 + 14 = 666.

It is a super-3 number, since 3×40134558187314³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44061174 + ... + 44962830.

It is an arithmetic number, because the mean of its divisors is an integer number (1814965421360).

Almost surely, 2^{40134558187314} is an apocalyptic number.

40134558187314 is an abundant number, since it is smaller than the sum of its proper divisors (46983782037966).

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

40134558187314 is a wasteful number, since it uses less digits than its factorization.

40134558187314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906215 (or 906212 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 40134558187314 in words is "forty trillion, one hundred thirty-four billion, five hundred fifty-eight million, one hundred eighty-seven thousand, three hundred fourteen".