45410145521520 has 640 divisors, whose sum is σ = 157151541657600. Its totient is φ = 10771719782400.

The previous prime is 45410145521519. The next prime is 45410145521557. The reversal of 45410145521520 is 2512554101454.

It is a super-2 number, since 2×45410145521520² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31556736961 + ... + 31556738399.

It is an arithmetic number, because the mean of its divisors is an integer number (245549283840).

Almost surely, 2^{45410145521520} is an apocalyptic number.

45410145521520 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 45410145521520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78575770828800).

45410145521520 is an abundant number, since it is smaller than the sum of its proper divisors (111741396136080).

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

45410145521520 is a wasteful number, since it uses less digits than its factorization.

45410145521520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2649 (or 2643 counting only the distinct ones).

The product of its (nonzero) digits is 160000, while the sum is 39.

Adding to 45410145521520 its reverse (2512554101454), we get a palindrome (47922699622974).

The spelling of 45410145521520 in words is "forty-five trillion, four hundred ten billion, one hundred forty-five million, five hundred twenty-one thousand, five hundred twenty".