4131934133040 has 640 divisors, whose sum is σ = 16855904010240. Its totient is φ = 910393344000.

The previous prime is 4131934133039. The next prime is 4131934133077. The reversal of 4131934133040 is 403314391314.

4131934133040 is a `hidden beast` number, since 4 + 1 + 3 + 1 + 9 + 341 + 3 + 304 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4131934132986 and 4131934133004.

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, 120443890 + ... + 120478190.

It is an arithmetic number, because the mean of its divisors is an integer number (26337350016).

Almost surely, 2^{4131934133040} is an apocalyptic number.

4131934133040 is a gapful number since it is divisible by the number (40) 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 4131934133040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8427952005120).

4131934133040 is an abundant number, since it is smaller than the sum of its proper divisors (12723969877200).

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

4131934133040 is a wasteful number, since it uses less digits than its factorization.

4131934133040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34618 (or 34606 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 4131934133040 in words is "four trillion, one hundred thirty-one billion, nine hundred thirty-four million, one hundred thirty-three thousand, forty".