3140004112740 has 384 divisors, whose sum is σ = 11057920473600. Its totient is φ = 732999352320.

The previous prime is 3140004112727. The next prime is 3140004112759. The reversal of 3140004112740 is 472114000413.

3140004112740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3140004112740² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21245016 + ... + 21392304.

It is an arithmetic number, because the mean of its divisors is an integer number (28796667900).

Almost surely, 2^{3140004112740} is an apocalyptic number.

3140004112740 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 3140004112740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5528960236800).

3140004112740 is an abundant number, since it is smaller than the sum of its proper divisors (7917916360860).

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

3140004112740 is a wasteful number, since it uses less digits than its factorization.

3140004112740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147452 (or 147444 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 3140004112740 in words is "three trillion, one hundred forty billion, four million, one hundred twelve thousand, seven hundred forty".