140011244134400 has 336 divisors, whose sum is σ = 350151662498424. Its totient is φ = 55531410554880.

The previous prime is 140011244134393. The next prime is 140011244134403. The reversal of 140011244134400 is 4431442110041.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 698735497216 + 139312508637184 = 835904^2 + 11803072^2 .

It is not an unprimeable number, because it can be changed into a prime (140011244134403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12371757542 + ... + 12371768858.

Almost surely, 2^{140011244134400} is an apocalyptic number.

140011244134400 is a gapful number since it is divisible by the number (10) 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 140011244134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175075831249212).

140011244134400 is an abundant number, since it is smaller than the sum of its proper divisors (210140418364024).

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

140011244134400 is a wasteful number, since it uses less digits than its factorization.

140011244134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11859 (or 11830 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 140011244134400 its reverse (4431442110041), we get a palindrome (144442686244441).

The spelling of 140011244134400 in words is "one hundred forty trillion, eleven billion, two hundred forty-four million, one hundred thirty-four thousand, four hundred".