40218062976 has 576 divisors, whose sum is σ = 148661997120. Its totient is φ = 10597257216.

The previous prime is 40218062971. The next prime is 40218063023. The reversal of 40218062976 is 67926081204.

It is a happy number.

40218062976 is a `hidden beast` number, since 4 + 0 + 2 + 18 + 0 + 629 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (40218062971) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36795486 + ... + 36796578.

It is an arithmetic number, because the mean of its divisors is an integer number (258093745).

Almost surely, 2^40218062976 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 40218062976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74330998560).

40218062976 is an abundant number, since it is smaller than the sum of its proper divisors (108443934144).

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

40218062976 is a wasteful number, since it uses less digits than its factorization.

40218062976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 40218062976 in words is "forty billion, two hundred eighteen million, sixty-two thousand, nine hundred seventy-six".