4934126111040 has 448 divisors, whose sum is σ = 19920986726400. Its totient is φ = 1126221760512.

The previous prime is 4934126110933. The next prime is 4934126111053. The reversal of 4934126111040 is 401116214394.

4934126111040 is a `hidden beast` number, since 4 + 9 + 34 + 1 + 2 + 611 + 1 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 = 4934126110986 and 4934126111004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43428387 + ... + 43541853.

Almost surely, 2^{4934126111040} is an apocalyptic number.

4934126111040 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 4934126111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9960493363200).

4934126111040 is an abundant number, since it is smaller than the sum of its proper divisors (14986860615360).

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

4934126111040 is a wasteful number, since it uses less digits than its factorization.

4934126111040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114219 (or 114203 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 4934126111040 in words is "four trillion, nine hundred thirty-four billion, one hundred twenty-six million, one hundred eleven thousand, forty".