40018188672 has 1152 divisors, whose sum is σ = 158016768000. Its totient is φ = 10059033600.

The previous prime is 40018188671. The next prime is 40018188677. The reversal of 40018188672 is 27688181004.

40018188672 is a `hidden beast` number, since 400 + 1 + 8 + 188 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40018188671) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1290909297 + ... + 1290909327.

Almost surely, 2^40018188672 is an apocalyptic number.

40018188672 is a gapful number since it is divisible by the number (42) 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 40018188672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79008384000).

40018188672 is an abundant number, since it is smaller than the sum of its proper divisors (117998579328).

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

40018188672 is an equidigital number, since it uses as much as digits as its factorization.

40018188672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 40018188672 in words is "forty billion, eighteen million, one hundred eighty-eight thousand, six hundred seventy-two".