40492267200 has 2016 divisors, whose sum is σ = 196474567680. Its totient is φ = 8012390400.

The previous prime is 40492267187. The next prime is 40492267201. The reversal of 40492267200 is 276229404.

40492267200 is a `hidden beast` number, since 404 + 9 + 226 + 7 + 20 + 0 = 666.

40492267200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40492267201) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 861537577 + ... + 861537623.

Almost surely, 2^40492267200 is an apocalyptic number.

40492267200 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 40492267200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98237283840).

40492267200 is an abundant number, since it is smaller than the sum of its proper divisors (155982300480).

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

40492267200 is a wasteful number, since it uses less digits than its factorization.

40492267200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 40492267200 in words is "forty billion, four hundred ninety-two million, two hundred sixty-seven thousand, two hundred".