41414497152 has 64 divisors (see below), whose sum is σ = 125722588800. Its totient is φ = 11832712704.

The previous prime is 41414497123. The next prime is 41414497193. The reversal of 41414497152 is 25179441414.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×41414497152² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7700902 + ... + 7706277.

It is an arithmetic number, because the mean of its divisors is an integer number (1964415450).

Almost surely, 2^41414497152 is an apocalyptic number.

41414497152 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

41414497152 is an abundant number, since it is smaller than the sum of its proper divisors (84308091648).

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

41414497152 is a wasteful number, since it uses less digits than its factorization.

41414497152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15407203 (or 15407191 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The spelling of 41414497152 in words is "forty-one billion, four hundred fourteen million, four hundred ninety-seven thousand, one hundred fifty-two".