40134563144160 has 96 divisors (see below), whose sum is σ = 133077762034560. Its totient is φ = 10139258055168.

The previous prime is 40134563144131. The next prime is 40134563144191. The reversal of 40134563144160 is 6144136543104.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×40134563144160² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2200350702 + ... + 2200368941.

It is an arithmetic number, because the mean of its divisors is an integer number (1386226687860).

Almost surely, 2^{40134563144160} is an apocalyptic number.

40134563144160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40134563144160 is an abundant number, since it is smaller than the sum of its proper divisors (92943198890400).

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

40134563144160 is a wasteful number, since it uses less digits than its factorization.

40134563144160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4400719680 (or 4400719672 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

Adding to 40134563144160 its reverse (6144136543104), we get a palindrome (46278699687264).

The spelling of 40134563144160 in words is "forty trillion, one hundred thirty-four billion, five hundred sixty-three million, one hundred forty-four thousand, one hundred sixty".