10045150115400 has 576 divisors, whose sum is σ = 34800481198080. Its totient is φ = 2595346790400.

The previous prime is 10045150115359. The next prime is 10045150115423. The reversal of 10045150115400 is 451105154001.

10045150115400 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 5 + 1 + 501 + 154 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7273822710 + ... + 7273824090.

It is an arithmetic number, because the mean of its divisors is an integer number (60417502080).

Almost surely, 2^{10045150115400} is an apocalyptic number.

10045150115400 is a gapful number since it is divisible by the number (10) 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 10045150115400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17400240599040).

10045150115400 is an abundant number, since it is smaller than the sum of its proper divisors (24755331082680).

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

10045150115400 is a wasteful number, since it uses less digits than its factorization.

10045150115400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2254 (or 2242 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

Adding to 10045150115400 its reverse (451105154001), we get a palindrome (10496255269401).

The spelling of 10045150115400 in words is "ten trillion, forty-five billion, one hundred fifty million, one hundred fifteen thousand, four hundred".