40712022614016 has 1568 divisors, whose sum is σ = 140969499945120. Its totient is φ = 11640464474112.

The previous prime is 40712022613991. The next prime is 40712022614041. The reversal of 40712022614016 is 61041622021704.

40712022614016 is a `hidden beast` number, since 4 + 0 + 7 + 1 + 2 + 0 + 22 + 614 + 0 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (40712022613991) and next prime (40712022614041).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 143858737011 + ... + 143858737293.

Almost surely, 2^{40712022614016} 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 40712022614016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70484749972560).

40712022614016 is an abundant number, since it is smaller than the sum of its proper divisors (100257477331104).

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

40712022614016 is a wasteful number, since it uses less digits than its factorization.

40712022614016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 40712022614016 in words is "forty trillion, seven hundred twelve billion, twenty-two million, six hundred fourteen thousand, sixteen".