41493513600 has 1728 divisors, whose sum is σ = 196563200400. Its totient is φ = 8622028800.

The previous prime is 41493513559. The next prime is 41493513601. The reversal of 41493513600 is 631539414.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

41493513600 is a `hidden beast` number, since 4 + 1 + 4 + 9 + 35 + 13 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 (41493513601) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3772137595 + ... + 3772137605.

Almost surely, 2^41493513600 is an apocalyptic number.

41493513600 is a gapful number since it is divisible by the number (40) 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 41493513600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98281600200).

41493513600 is an abundant number, since it is smaller than the sum of its proper divisors (155069686800).

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

41493513600 is an equidigital number, since it uses as much as digits as its factorization.

41493513600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 41493513600 in words is "forty-one billion, four hundred ninety-three million, five hundred thirteen thousand, six hundred".