41786752896 has 768 divisors, whose sum is σ = 156268569600. Its totient is φ = 10431037440.

The previous prime is 41786752867. The next prime is 41786752919. The reversal of 41786752896 is 69825768714.

41786752896 is a `hidden beast` number, since 4 + 17 + 8 + 6 + 7 + 528 + 96 = 666.

It is a super-2 number, since 2×41786752896² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 158884861 + ... + 158885123.

It is an arithmetic number, because the mean of its divisors is an integer number (203474700).

Almost surely, 2^41786752896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41786752896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78134284800).

41786752896 is an abundant number, since it is smaller than the sum of its proper divisors (114481816704).

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

41786752896 is a wasteful number, since it uses less digits than its factorization.

41786752896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 372 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 63.

It can be divided in two parts, 4 and 1786752896, that added together give a square (1786752900 = 42270²).

The spelling of 41786752896 in words is "forty-one billion, seven hundred eighty-six million, seven hundred fifty-two thousand, eight hundred ninety-six".