3133363473240 has 512 divisors, whose sum is σ = 12762954086400. Its totient is φ = 594249891840.

The previous prime is 3133363473239. The next prime is 3133363473287. The reversal of 3133363473240 is 423743633313.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3133363473192 and 3133363473201.

It is a congruent number.

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, 10544134 + ... + 10837226.

It is an arithmetic number, because the mean of its divisors is an integer number (24927644700).

Almost surely, 2^{3133363473240} is an apocalyptic number.

3133363473240 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 3133363473240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6381477043200).

3133363473240 is an abundant number, since it is smaller than the sum of its proper divisors (9629590613160).

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

3133363473240 is a wasteful number, since it uses less digits than its factorization.

3133363473240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293227 (or 293223 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 42.

The spelling of 3133363473240 in words is "three trillion, one hundred thirty-three billion, three hundred sixty-three million, four hundred seventy-three thousand, two hundred forty".