40236167889216 has 1008 divisors, whose sum is σ = 134153084991744. Its totient is φ = 11483717566464.

The previous prime is 40236167889179. The next prime is 40236167889227. The reversal of 40236167889216 is 61298876163204.

40236167889216 is a `hidden beast` number, since 4 + 0 + 2 + 3 + 616 + 7 + 8 + 8 + 9 + 2 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 58910933611 + ... + 58910934293.

It is an arithmetic number, because the mean of its divisors is an integer number (133088377968).

Almost surely, 2^{40236167889216} 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 40236167889216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67076542495872).

40236167889216 is an abundant number, since it is smaller than the sum of its proper divisors (93916917102528).

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

40236167889216 is a wasteful number, since it uses less digits than its factorization.

40236167889216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 40236167889216 in words is "forty trillion, two hundred thirty-six billion, one hundred sixty-seven million, eight hundred eighty-nine thousand, two hundred sixteen".