10045413150400 has 168 divisors, whose sum is σ = 24876958245984. Its totient is φ = 3992376115200.

The previous prime is 10045413150391. The next prime is 10045413150403. The reversal of 10045413150400 is 405131454001.

It is not an unprimeable number, because it can be changed into a prime (10045413150403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253504989 + ... + 253544611.

Almost surely, 2^{10045413150400} is an apocalyptic number.

10045413150400 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 10045413150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12438479122992).

10045413150400 is an abundant number, since it is smaller than the sum of its proper divisors (14831545095584).

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

10045413150400 is a wasteful number, since it uses less digits than its factorization.

10045413150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40659 (or 40644 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The spelling of 10045413150400 in words is "ten trillion, forty-five billion, four hundred thirteen million, one hundred fifty thousand, four hundred".