45202333030400 has 288 divisors, whose sum is σ = 137937758605920. Its totient is φ = 14305791836160.

The previous prime is 45202333030343. The next prime is 45202333030429. The reversal of 45202333030400 is 403033320254.

It is a super-2 number, since 2×45202333030400² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 191669 + ... + 9510068.

It is an arithmetic number, because the mean of its divisors is an integer number (478950550715).

Almost surely, 2^{45202333030400} is an apocalyptic number.

45202333030400 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 45202333030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68968879302960).

45202333030400 is an abundant number, since it is smaller than the sum of its proper divisors (92735425575520).

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

45202333030400 is a wasteful number, since it uses less digits than its factorization.

45202333030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9701789 (or 9701764 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 29.

Adding to 45202333030400 its reverse (403033320254), we get a palindrome (45605366350654).

The spelling of 45202333030400 in words is "forty-five trillion, two hundred two billion, three hundred thirty-three million, thirty thousand, four hundred".