3142245751040 has 1152 divisors, whose sum is σ = 9269464780800. Its totient is φ = 1008295608320.

The previous prime is 3142245751033. The next prime is 3142245751157. The reversal of 3142245751040 is 401575422413.

It is a super-2 number, since 2×3142245751040² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3142245750985 and 3142245751003.

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, 29366782667 + ... + 29366782773.

It is an arithmetic number, because the mean of its divisors is an integer number (8046410400).

Almost surely, 2^{3142245751040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3142245751040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4634732390400).

3142245751040 is an abundant number, since it is smaller than the sum of its proper divisors (6127219029760).

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

3142245751040 is a wasteful number, since it uses less digits than its factorization.

3142245751040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 38.

The spelling of 3142245751040 in words is "three trillion, one hundred forty-two billion, two hundred forty-five million, seven hundred fifty-one thousand, forty".