40053114400 has 144 divisors (see below), whose sum is σ = 106745683464. Its totient is φ = 14585978880.

The previous prime is 40053114397. The next prime is 40053114421. The reversal of 40053114400 is 441135004.

It can be written as a sum of positive squares in 12 ways, for example, as 3558361104 + 36494753296 = 59652^2 + 191036^2 .

It is an unprimeable number.

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, 732822 + ... + 785578.

Almost surely, 2^40053114400 is an apocalyptic number.

40053114400 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 40053114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53372841732).

40053114400 is an abundant number, since it is smaller than the sum of its proper divisors (66692569064).

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

40053114400 is a wasteful number, since it uses less digits than its factorization.

40053114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52863 (or 52850 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 40053114400 its reverse (441135004), we get a palindrome (40494249404).

The spelling of 40053114400 in words is "forty billion, fifty-three million, one hundred fourteen thousand, four hundred".