3133610742040 has 128 divisors (see below), whose sum is σ = 7518614400000. Its totient is φ = 1171980665856.

The previous prime is 3133610742019. The next prime is 3133610742071. The reversal of 3133610742040 is 402470163313.

It is a junction number, because it is equal to n+sod(n) for n = 3133610741987 and 3133610742005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178249971 + ... + 178267549.

It is an arithmetic number, because the mean of its divisors is an integer number (58739175000).

Almost surely, 2^{3133610742040} 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 3133610742040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3759307200000).

3133610742040 is an abundant number, since it is smaller than the sum of its proper divisors (4385003657960).

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

3133610742040 is a wasteful number, since it uses less digits than its factorization.

3133610742040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20657 (or 20653 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 34.

The spelling of 3133610742040 in words is "three trillion, one hundred thirty-three billion, six hundred ten million, seven hundred forty-two thousand, forty".