40942218240 has 792 divisors, whose sum is σ = 178378855200. Its totient is φ = 8499363840.

The previous prime is 40942218211. The next prime is 40942218257. The reversal of 40942218240 is 4281224904.

40942218240 is a `hidden beast` number, since 409 + 4 + 2 + 2 + 1 + 8 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40942218195 and 40942218204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39029236 + ... + 39030284.

Almost surely, 2^40942218240 is an apocalyptic number.

40942218240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40942218240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89189427600).

40942218240 is an abundant number, since it is smaller than the sum of its proper divisors (137436636960).

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

40942218240 is a wasteful number, since it uses less digits than its factorization.

40942218240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 40942218240 in words is "forty billion, nine hundred forty-two million, two hundred eighteen thousand, two hundred forty".