41190301152 has 864 divisors, whose sum is σ = 163965634560. Its totient is φ = 9534412800.

The previous prime is 41190301127. The next prime is 41190301193. The reversal of 41190301152 is 25110309114.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 98305999 + ... + 98306417.

It is an arithmetic number, because the mean of its divisors is an integer number (189775040).

Almost surely, 2^41190301152 is an apocalyptic number.

41190301152 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 41190301152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81982817280).

41190301152 is an abundant number, since it is smaller than the sum of its proper divisors (122775333408).

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

41190301152 is a wasteful number, since it uses less digits than its factorization.

41190301152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 41190301152 in words is "forty-one billion, one hundred ninety million, three hundred one thousand, one hundred fifty-two".