140097689424 has 1200 divisors, whose sum is σ = 551724687360. Its totient is φ = 33495897600.

The previous prime is 140097689423. The next prime is 140097689429. The reversal of 140097689424 is 424986790041.

140097689424 is a `hidden beast` number, since 1 + 400 + 97 + 68 + 94 + 2 + 4 = 666.

It is a super-2 number, since 2×140097689424² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140097689423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 782668567 + ... + 782668745.

Almost surely, 2^140097689424 is an apocalyptic number.

140097689424 is a gapful number since it is divisible by the number (14) 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 140097689424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275862343680).

140097689424 is an abundant number, since it is smaller than the sum of its proper divisors (411626997936).

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

140097689424 is a wasteful number, since it uses less digits than its factorization.

140097689424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 140097689424 in words is "one hundred forty billion, ninety-seven million, six hundred eighty-nine thousand, four hundred twenty-four".