140337128831040 has 672 divisors, whose sum is σ = 505593709111296. Its totient is φ = 35687604879360.

The previous prime is 140337128830991. The next prime is 140337128831047. The reversal of 140337128831040 is 40138821733041.

140337128831040 is a `hidden beast` number, since 1 + 4 + 0 + 337 + 1 + 288 + 31 + 0 + 4 + 0 = 666.

140337128831040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (140337128831047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1745294517 + ... + 1745374923.

Almost surely, 2^{140337128831040} is an apocalyptic number.

140337128831040 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 140337128831040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252796854555648).

140337128831040 is an abundant number, since it is smaller than the sum of its proper divisors (365256580280256).

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

140337128831040 is a wasteful number, since it uses less digits than its factorization.

140337128831040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80747 (or 80734 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 140337128831040 in words is "one hundred forty trillion, three hundred thirty-seven billion, one hundred twenty-eight million, eight hundred thirty-one thousand, forty".