40254401200 has 240 divisors, whose sum is σ = 108434934720. Its totient is φ = 14258442240.

The previous prime is 40254401191. The next prime is 40254401333. The reversal of 40254401200 is 210445204.

It is a happy number.

It is a super-2 number, since 2×40254401200² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 26087629 + ... + 26089171.

It is an arithmetic number, because the mean of its divisors is an integer number (451812228).

Almost surely, 2^40254401200 is an apocalyptic number.

40254401200 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 40254401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54217467360).

40254401200 is an abundant number, since it is smaller than the sum of its proper divisors (68180533520).

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

40254401200 is a wasteful number, since it uses less digits than its factorization.

40254401200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776 (or 1765 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

Adding to 40254401200 its reverse (210445204), we get a palindrome (40464846404).

The spelling of 40254401200 in words is "forty billion, two hundred fifty-four million, four hundred one thousand, two hundred".