140011512034400 has 432 divisors, whose sum is σ = 359349830920080. Its totient is φ = 53261171712000.

The previous prime is 140011512034357. The next prime is 140011512034481. The reversal of 140011512034400 is 4430215110041.

It is a self number, because there is not a number n which added to its sum of digits gives 140011512034400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13386696371 + ... + 13386706829.

It is an arithmetic number, because the mean of its divisors is an integer number (831828312315).

Almost surely, 2^{140011512034400} is an apocalyptic number.

140011512034400 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 140011512034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179674915460040).

140011512034400 is an abundant number, since it is smaller than the sum of its proper divisors (219338318885680).

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

140011512034400 is a wasteful number, since it uses less digits than its factorization.

140011512034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10835 (or 10793 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 140011512034400 its reverse (4430215110041), we get a palindrome (144441727144441).

The spelling of 140011512034400 in words is "one hundred forty trillion, eleven billion, five hundred twelve million, thirty-four thousand, four hundred".