3140230001040 has 480 divisors, whose sum is σ = 11586269859840. Its totient is φ = 755885491200.

The previous prime is 3140230001023. The next prime is 3140230001131. The reversal of 3140230001040 is 401000320413.

3140230001040 is a `hidden beast` number, since 314 + 0 + 2 + 300 + 0 + 10 + 40 = 666.

It is a super-2 number, since 2×3140230001040² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 800464519 + ... + 800468441.

It is an arithmetic number, because the mean of its divisors is an integer number (24138062208).

Almost surely, 2^{3140230001040} is an apocalyptic number.

3140230001040 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 3140230001040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5793134929920).

3140230001040 is an abundant number, since it is smaller than the sum of its proper divisors (8446039858800).

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

3140230001040 is a wasteful number, since it uses less digits than its factorization.

3140230001040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4643 (or 4634 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 3140230001040 its reverse (401000320413), we get a palindrome (3541230321453).

The spelling of 3140230001040 in words is "three trillion, one hundred forty billion, two hundred thirty million, one thousand, forty".