140343638416800 has 576 divisors, whose sum is σ = 570629881350144. Its totient is φ = 29169007718400.

The previous prime is 140343638416747. The next prime is 140343638416841. The reversal of 140343638416800 is 8614836343041.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9837285 + ... + 19428315.

It is an arithmetic number, because the mean of its divisors is an integer number (990676877344).

Almost surely, 2^{140343638416800} is an apocalyptic number.

140343638416800 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 140343638416800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285314940675072).

140343638416800 is an abundant number, since it is smaller than the sum of its proper divisors (430286242933344).

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

140343638416800 is a wasteful number, since it uses less digits than its factorization.

140343638416800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9591141 (or 9591128 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 51.

The spelling of 140343638416800 in words is "one hundred forty trillion, three hundred forty-three billion, six hundred thirty-eight million, four hundred sixteen thousand, eight hundred".