40218494976 has 288 divisors, whose sum is σ = 130973824800. Its totient is φ = 12185395200.

The previous prime is 40218494971. The next prime is 40218494989. The reversal of 40218494976 is 67949481204.

40218494976 is a `hidden beast` number, since 40 + 21 + 8 + 494 + 97 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (40218494971) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6687811 + ... + 6693821.

It is an arithmetic number, because the mean of its divisors is an integer number (454770225).

Almost surely, 2^40218494976 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 40218494976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65486912400).

40218494976 is an abundant number, since it is smaller than the sum of its proper divisors (90755329824).

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

40218494976 is a wasteful number, since it uses less digits than its factorization.

40218494976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6064 (or 6027 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 40218494976 in words is "forty billion, two hundred eighteen million, four hundred ninety-four thousand, nine hundred seventy-six".