40340149200 has 480 divisors, whose sum is σ = 156626086400. Its totient is φ = 9801492480.

The previous prime is 40340149163. The next prime is 40340149217. The reversal of 40340149200 is 294104304.

40340149200 is a `hidden beast` number, since 403 + 40 + 14 + 9 + 200 = 666.

40340149200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11089782 + ... + 11093418.

Almost surely, 2^40340149200 is an apocalyptic number.

40340149200 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 40340149200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78313043200).

40340149200 is an abundant number, since it is smaller than the sum of its proper divisors (116285937200).

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

40340149200 is a wasteful number, since it uses less digits than its factorization.

40340149200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3756 (or 3739 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 40340149200 in words is "forty billion, three hundred forty million, one hundred forty-nine thousand, two hundred".