41545638720 has 560 divisors, whose sum is σ = 153483137280. Its totient is φ = 10660294656.

The previous prime is 41545638709. The next prime is 41545638731. The reversal of 41545638720 is 2783654514.

41545638720 is a `hidden beast` number, since 4 + 1 + 5 + 4 + 5 + 638 + 7 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (41545638709) and next prime (41545638731).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 81621826 + ... + 81622334.

Almost surely, 2^41545638720 is an apocalyptic number.

41545638720 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 41545638720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76741568640).

41545638720 is an abundant number, since it is smaller than the sum of its proper divisors (111937498560).

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

41545638720 is a wasteful number, since it uses less digits than its factorization.

41545638720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 41545638720 in words is "forty-one billion, five hundred forty-five million, six hundred thirty-eight thousand, seven hundred twenty".