140314240000 has 440 divisors, whose sum is σ = 402874164000. Its totient is φ = 48291840000.

The previous prime is 140314239979. The next prime is 140314240037. The reversal of 140314240000 is 42413041.

It is a tau number, because it is divible by the number of its divisors (440).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 140314240000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 133759476 + ... + 133760524.

It is an arithmetic number, because the mean of its divisors is an integer number (915623100).

Almost surely, 2^140314240000 is an apocalyptic number.

140314240000 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 140314240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201437082000).

140314240000 is an abundant number, since it is smaller than the sum of its proper divisors (262559924000).

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

140314240000 is a wasteful number, since it uses less digits than its factorization.

140314240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 140314240000 its reverse (42413041), we get a palindrome (140356653041).

The spelling of 140314240000 in words is "one hundred forty billion, three hundred fourteen million, two hundred forty thousand".