140420434024000 has 224 divisors, whose sum is σ = 375264165773952. Its totient is φ = 51741930240000.

The previous prime is 140420434023959. The next prime is 140420434024037. The reversal of 140420434024000 is 420434024041.

It is a self number, because there is not a number n which added to its sum of digits gives 140420434024000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49689055 + ... + 52438945.

It is an arithmetic number, because the mean of its divisors is an integer number (1675286454348).

Almost surely, 2^{140420434024000} is an apocalyptic number.

140420434024000 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 140420434024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187632082886976).

140420434024000 is an abundant number, since it is smaller than the sum of its proper divisors (234843731749952).

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

140420434024000 is a wasteful number, since it uses less digits than its factorization.

140420434024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2750422 (or 2750402 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 140420434024000 its reverse (420434024041), we get a palindrome (140840868048041).

The spelling of 140420434024000 in words is "one hundred forty trillion, four hundred twenty billion, four hundred thirty-four million, twenty-four thousand".