40144330400 has 144 divisors (see below), whose sum is σ = 107115644160. Its totient is φ = 14625484800.

The previous prime is 40144330363. The next prime is 40144330409. The reversal of 40144330400 is 403344104.

It is a super-2 number, since 2×40144330400² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40144330409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 373991 + ... + 469209.

It is an arithmetic number, because the mean of its divisors is an integer number (743858640).

Almost surely, 2^40144330400 is an apocalyptic number.

40144330400 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 40144330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53557822080).

40144330400 is an abundant number, since it is smaller than the sum of its proper divisors (66971313760).

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

40144330400 is a wasteful number, since it uses less digits than its factorization.

40144330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95287 (or 95274 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 40144330400 its reverse (403344104), we get a palindrome (40547674504).

The spelling of 40144330400 in words is "forty billion, one hundred forty-four million, three hundred thirty thousand, four hundred".