41977152 has 168 divisors, whose sum is σ = 142646400. Its totient is φ = 11547648.

The previous prime is 41977151. The next prime is 41977207. The reversal of 41977152 is 25177914.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×41977152² = 3524162580062208, which contains 22 as substring.

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 (41977151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116749 + ... + 117107.

Almost surely, 2^41977152 is an apocalyptic number.

41977152 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 41977152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71323200).

41977152 is an abundant number, since it is smaller than the sum of its proper divisors (100669248).

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

41977152 is a wasteful number, since it uses less digits than its factorization.

41977152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 400 counting only the distinct ones).

The product of its digits is 17640, while the sum is 36.

The square root of 41977152 is about 6478.9776971371. The cubic root of 41977152 is about 347.5396211056.

The spelling of 41977152 in words is "forty-one million, nine hundred seventy-seven thousand, one hundred fifty-two".