3140375040 has 240 divisors, whose sum is σ = 11865686976. Its totient is φ = 761241600.

The previous prime is 3140375039. The next prime is 3140375053. The reversal of 3140375040 is 405730413.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 3140374995 and 3140375013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 247245 + ... + 259635.

Almost surely, 2^3140375040 is an apocalyptic number.

3140375040 is a gapful number since it is divisible by the number (30) 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 3140375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5932843488).

3140375040 is an abundant number, since it is smaller than the sum of its proper divisors (8725311936).

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

3140375040 is a wasteful number, since it uses less digits than its factorization.

3140375040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12431 (or 12412 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 3140375040 is about 56039.0492424702. The cubic root of 3140375040 is about 1464.4026483632.

The spelling of 3140375040 in words is "three billion, one hundred forty million, three hundred seventy-five thousand, forty".