3123616025040 has 320 divisors, whose sum is σ = 11720129863680. Its totient is φ = 671820226560.

The previous prime is 3123616024957. The next prime is 3123616025051. The reversal of 3123616025040 is 405206163213.

It is a super-4 number, since 4×3123616025040⁴ (a number of 51 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3123616024992 and 3123616025010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 166752475 + ... + 166771205.

It is an arithmetic number, because the mean of its divisors is an integer number (36625405824).

Almost surely, 2^{3123616025040} is an apocalyptic number.

3123616025040 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 3123616025040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5860064931840).

3123616025040 is an abundant number, since it is smaller than the sum of its proper divisors (8596513838640).

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

3123616025040 is a wasteful number, since it uses less digits than its factorization.

3123616025040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24610 (or 24604 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 3123616025040 in words is "three trillion, one hundred twenty-three billion, six hundred sixteen million, twenty-five thousand, forty".