140420131588800 has 2016 divisors, whose sum is σ = 603158826435840. Its totient is φ = 31683081830400.

The previous prime is 140420131588739. The next prime is 140420131588801. The reversal of 140420131588800 is 8885131024041.

140420131588800 is a `hidden beast` number, since 1 + 40 + 4 + 20 + 1 + 3 + 1 + 588 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-3 number, since 3×140420131588800³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (140420131588801) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 74970704664 + ... + 74970706536.

Almost surely, 2^{140420131588800} is an apocalyptic number.

140420131588800 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 140420131588800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301579413217920).

140420131588800 is an abundant number, since it is smaller than the sum of its proper divisors (462738694847040).

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

140420131588800 is a wasteful number, since it uses less digits than its factorization.

140420131588800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2356 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 140420131588800 in words is "one hundred forty trillion, four hundred twenty billion, one hundred thirty-one million, five hundred eighty-eight thousand, eight hundred".