41187792788352 has 672 divisors, whose sum is σ = 148389636397680. Its totient is φ = 11148511666176.

The previous prime is 41187792788323. The next prime is 41187792788353. The reversal of 41187792788352 is 25388729778114.

41187792788352 is a `hidden beast` number, since 4 + 1 + 187 + 7 + 92 + 7 + 8 + 8 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41187792788353) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 235712088 + ... + 235886760.

Almost surely, 2^{41187792788352} is an apocalyptic number.

41187792788352 is a gapful number since it is divisible by the number (42) 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 41187792788352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74194818198840).

41187792788352 is an abundant number, since it is smaller than the sum of its proper divisors (107201843609328).

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

41187792788352 is an equidigital number, since it uses as much as digits as its factorization.

41187792788352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174750 (or 174704 counting only the distinct ones).

The product of its digits is 379330560, while the sum is 72.

The spelling of 41187792788352 in words is "forty-one trillion, one hundred eighty-seven billion, seven hundred ninety-two million, seven hundred eighty-eight thousand, three hundred fifty-two".