41000152788 has 216 divisors, whose sum is σ = 124996533480. Its totient is φ = 11298518784.

The previous prime is 41000152783. The next prime is 41000152789. The reversal of 41000152788 is 88725100014.

It can be written as a sum of positive squares in 4 ways, for example, as 1192464 + 40998960324 = 1092^2 + 202482^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41000152783) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 43021720 + ... + 43022672.

It is an arithmetic number, because the mean of its divisors is an integer number (578687655).

Almost surely, 2^41000152788 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 41000152788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62498266740).

41000152788 is an abundant number, since it is smaller than the sum of its proper divisors (83996380692).

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

41000152788 is a wasteful number, since it uses less digits than its factorization.

41000152788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 41000152788 in words is "forty-one billion, one hundred fifty-two thousand, seven hundred eighty-eight".