41153952 has 96 divisors (see below), whose sum is σ = 126185472. Its totient is φ = 11499264.

The previous prime is 41153941. The next prime is 41153963. The reversal of 41153952 is 25935114.

It is an interprime number because it is at equal distance from previous prime (41153941) and next prime (41153963).

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30933 + ... + 32235.

It is an arithmetic number, because the mean of its divisors is an integer number (1314432).

Almost surely, 2^41153952 is an apocalyptic number.

41153952 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 41153952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63092736).

41153952 is an abundant number, since it is smaller than the sum of its proper divisors (85031520).

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

41153952 is a wasteful number, since it uses less digits than its factorization.

41153952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370 (or 1362 counting only the distinct ones).

The product of its digits is 5400, while the sum is 30.

The square root of 41153952 is about 6415.1346049791. The cubic root of 41153952 is about 345.2527784094.

The spelling of 41153952 in words is "forty-one million, one hundred fifty-three thousand, nine hundred fifty-two".