40542328008 has 864 divisors, whose sum is σ = 152147136960. Its totient is φ = 9898536960.

The previous prime is 40542327979. The next prime is 40542328027. The reversal of 40542328008 is 80082324504.

40542328008 is a `hidden beast` number, since 4 + 0 + 542 + 32 + 80 + 0 + 8 = 666.

It is a super-2 number, since 2×40542328008² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 664628298 + ... + 664628358.

Almost surely, 2^40542328008 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 40542328008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76073568480).

40542328008 is an abundant number, since it is smaller than the sum of its proper divisors (111604808952).

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

40542328008 is a wasteful number, since it uses less digits than its factorization.

40542328008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 40542328008 in words is "forty billion, five hundred forty-two million, three hundred twenty-eight thousand, eight".