40799149200 has 300 divisors, whose sum is σ = 150001094628. Its totient is φ = 10614067200.

The previous prime is 40799149187. The next prime is 40799149207. The reversal of 40799149200 is 294199704.

It is a happy number.

40799149200 is a `hidden beast` number, since 4 + 0 + 79 + 91 + 492 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1481018256 + 39318130944 = 38484^2 + 198288^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (40799149207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1313044 + ... + 1343756.

Almost surely, 2^40799149200 is an apocalyptic number.

40799149200 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 40799149200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75000547314).

40799149200 is an abundant number, since it is smaller than the sum of its proper divisors (109201945428).

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

40799149200 is a wasteful number, since it uses less digits than its factorization.

40799149200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30784 (or 30764 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 40799149200 in words is "forty billion, seven hundred ninety-nine million, one hundred forty-nine thousand, two hundred".