3083941175040 has 1440 divisors, whose sum is σ = 12472857980352. Its totient is φ = 721059840000.

The previous prime is 3083941175039. The next prime is 3083941175057. The reversal of 3083941175040 is 405711493803.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×3083941175040² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 4722727354 + ... + 4722728006.

Almost surely, 2^{3083941175040} is an apocalyptic number.

3083941175040 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 3083941175040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6236428990176).

3083941175040 is an abundant number, since it is smaller than the sum of its proper divisors (9388916805312).

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

3083941175040 is a wasteful number, since it uses less digits than its factorization.

3083941175040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 3083941175040 in words is "three trillion, eighty-three billion, nine hundred forty-one million, one hundred seventy-five thousand, forty".