140012011334400 has 216 divisors, whose sum is σ = 462504376981584. Its totient is φ = 37301340979200.

The previous prime is 140012011334399. The next prime is 140012011334401. The reversal of 140012011334400 is 4433110210041.

It is an interprime number because it is at equal distance from previous prime (140012011334399) and next prime (140012011334401).

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

It is not an unprimeable number, because it can be changed into a prime (140012011334401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16934682 + ... + 23807718.

Almost surely, 2^{140012011334400} is an apocalyptic number.

140012011334400 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 140012011334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231252188490792).

140012011334400 is an abundant number, since it is smaller than the sum of its proper divisors (322492365647184).

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

140012011334400 is a wasteful number, since it uses less digits than its factorization.

140012011334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6874127 (or 6874108 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 140012011334400 its reverse (4433110210041), we get a palindrome (144445121544441).

The spelling of 140012011334400 in words is "one hundred forty trillion, twelve billion, eleven million, three hundred thirty-four thousand, four hundred".