40245043200 has 336 divisors, whose sum is σ = 137426370816. Its totient is φ = 10380902400.

The previous prime is 40245043199. The next prime is 40245043207. The reversal of 40245043200 is 234054204.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40245043207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19045344 + ... + 19047456.

It is an arithmetic number, because the mean of its divisors is an integer number (409007056).

Almost surely, 2^40245043200 is an apocalyptic number.

40245043200 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 40245043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68713185408).

40245043200 is an abundant number, since it is smaller than the sum of its proper divisors (97181327616).

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

40245043200 is a wasteful number, since it uses less digits than its factorization.

40245043200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2183 (or 2154 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

Adding to 40245043200 its reverse (234054204), we get a palindrome (40479097404).

The spelling of 40245043200 in words is "forty billion, two hundred forty-five million, forty-three thousand, two hundred".