41453616624 has 360 divisors, whose sum is σ = 135929514240. Its totient is φ = 10823791104.

The previous prime is 41453616623. The next prime is 41453616637. The reversal of 41453616624 is 42661635414.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41453616623) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37582057 + ... + 37583159.

It is an arithmetic number, because the mean of its divisors is an integer number (377581984).

Almost surely, 2^41453616624 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 41453616624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67964757120).

41453616624 is an abundant number, since it is smaller than the sum of its proper divisors (94475897616).

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

41453616624 is a wasteful number, since it uses less digits than its factorization.

41453616624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 1163 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The spelling of 41453616624 in words is "forty-one billion, four hundred fifty-three million, six hundred sixteen thousand, six hundred twenty-four".