40140734217216 has 176 divisors, whose sum is σ = 114237737712384. Its totient is φ = 12500854603776.

The previous prime is 40140734217191. The next prime is 40140734217217. The reversal of 40140734217216 is 61271243704104.

It is a super-2 number, since 2×40140734217216² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40140734217217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3567781 + ... + 9644196.

It is an arithmetic number, because the mean of its divisors is an integer number (649078055184).

Almost surely, 2^{40140734217216} is an apocalyptic number.

40140734217216 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

40140734217216 is an abundant number, since it is smaller than the sum of its proper divisors (74097003495168).

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

40140734217216 is a wasteful number, since it uses less digits than its factorization.

40140734217216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13212066 (or 13212048 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 40140734217216 in words is "forty trillion, one hundred forty billion, seven hundred thirty-four million, two hundred seventeen thousand, two hundred sixteen".