140144024000430 has 96 divisors (see below), whose sum is σ = 372139049513088. Its totient is φ = 36575422848000.

The previous prime is 140144024000389. The next prime is 140144024000503. The reversal of 140144024000430 is 34000420441041.

140144024000430 is a `hidden beast` number, since 140 + 1 + 440 + 2 + 40 + 0 + 0 + 43 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 140144024000394 and 140144024000403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135441030 + ... + 136471830.

It is an arithmetic number, because the mean of its divisors is an integer number (3876448432428).

Almost surely, 2^{140144024000430} is an apocalyptic number.

140144024000430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

140144024000430 is an abundant number, since it is smaller than the sum of its proper divisors (231995025512658).

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

140144024000430 is a wasteful number, since it uses less digits than its factorization.

140144024000430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063002 (or 1062999 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 140144024000430 its reverse (34000420441041), we get a palindrome (174144444441471).

The spelling of 140144024000430 in words is "one hundred forty trillion, one hundred forty-four billion, twenty-four million, four hundred thirty", and thus it is an aban number.