41747765472 has 384 divisors, whose sum is σ = 145474560000. Its totient is φ = 11538961920.

The previous prime is 41747765471. The next prime is 41747765489. The reversal of 41747765472 is 27456774714.

It is a happy number.

41747765472 is a `hidden beast` number, since 41 + 7 + 4 + 77 + 65 + 472 = 666.

It is a super-3 number, since 3×41747765472³ (a number of 33 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41747765471) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15185154 + ... + 15187902.

It is an arithmetic number, because the mean of its divisors is an integer number (378840000).

Almost surely, 2^41747765472 is an apocalyptic number.

41747765472 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 41747765472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72737280000).

41747765472 is an abundant number, since it is smaller than the sum of its proper divisors (103726794528).

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

41747765472 is an equidigital number, since it uses as much as digits as its factorization.

41747765472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2818 (or 2792 counting only the distinct ones).

The product of its digits is 9219840, while the sum is 54.

The spelling of 41747765472 in words is "forty-one billion, seven hundred forty-seven million, seven hundred sixty-five thousand, four hundred seventy-two".