4181372157960 has 384 divisors, whose sum is σ = 14875495776000. Its totient is φ = 1044468919296.

The previous prime is 4181372157931. The next prime is 4181372157973. The reversal of 4181372157960 is 697512731814.

4181372157960 is a `hidden beast` number, since 4 + 1 + 8 + 1 + 3 + 7 + 2 + 1 + 579 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4181372157897 and 4181372157906.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34639069 + ... + 34759571.

It is an arithmetic number, because the mean of its divisors is an integer number (38738270250).

It is a 2-persistent number, because it is pandigital, and so is 2⋅4181372157960 = 8362744315920, but 3⋅4181372157960 = 12544116473880 is not.

Almost surely, 2^{4181372157960} is an apocalyptic number.

4181372157960 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 4181372157960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7437747888000).

4181372157960 is an abundant number, since it is smaller than the sum of its proper divisors (10694123618040).

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

4181372157960 is a wasteful number, since it uses less digits than its factorization.

4181372157960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120650 (or 120621 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 4181372157960 in words is "four trillion, one hundred eighty-one billion, three hundred seventy-two million, one hundred fifty-seven thousand, nine hundred sixty".