41958451132416 has 1920 divisors, whose sum is σ = 162194080688640. Its totient is φ = 10510472577024.

The previous prime is 41958451132393. The next prime is 41958451132427. The reversal of 41958451132416 is 61423115485914.

41958451132416 is a `hidden beast` number, since 4 + 1 + 9 + 5 + 84 + 511 + 3 + 2 + 41 + 6 = 666.

It is a super-3 number, since 3×41958451132416³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 24017429655 + ... + 24017431401.

It is an arithmetic number, because the mean of its divisors is an integer number (84476083692).

Almost surely, 2^{41958451132416} 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 41958451132416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81097040344320).

41958451132416 is an abundant number, since it is smaller than the sum of its proper divisors (120235629556224).

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

41958451132416 is a wasteful number, since it uses less digits than its factorization.

41958451132416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1881 (or 1852 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The spelling of 41958451132416 in words is "forty-one trillion, nine hundred fifty-eight billion, four hundred fifty-one million, one hundred thirty-two thousand, four hundred sixteen".