3128002907040 has 960 divisors, whose sum is σ = 12186886440960. Its totient is φ = 749295360000.

The previous prime is 3128002906967. The next prime is 3128002907129. The reversal of 3128002907040 is 407092008213.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3128002906986 and 3128002907004.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7125291141 + ... + 7125291579.

It is an arithmetic number, because the mean of its divisors is an integer number (12694673376).

Almost surely, 2^{3128002907040} is an apocalyptic number.

3128002907040 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 3128002907040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6093443220480).

3128002907040 is an abundant number, since it is smaller than the sum of its proper divisors (9058883533920).

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

3128002907040 is a wasteful number, since it uses less digits than its factorization.

3128002907040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 3128002907040 in words is "three trillion, one hundred twenty-eight billion, two million, nine hundred seven thousand, forty".