4061738157120 has 3136 divisors, whose sum is σ = 18626348482560. Its totient is φ = 822339993600.

The previous prime is 4061738157077. The next prime is 4061738157157. The reversal of 4061738157120 is 217518371604.

4061738157120 is a `hidden beast` number, since 4 + 0 + 6 + 1 + 73 + 8 + 1 + 571 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 39434350989 + ... + 39434351091.

Almost surely, 2^{4061738157120} is an apocalyptic number.

4061738157120 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 4061738157120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9313174241280).

4061738157120 is an abundant number, since it is smaller than the sum of its proper divisors (14564610325440).

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

4061738157120 is a wasteful number, since it uses less digits than its factorization.

4061738157120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 4061738157120 in words is "four trillion, sixty-one billion, seven hundred thirty-eight million, one hundred fifty-seven thousand, one hundred twenty".