45099815990400 has 768 divisors, whose sum is σ = 172310685696000. Its totient is φ = 11498266644480.

The previous prime is 45099815990363. The next prime is 45099815990431. The reversal of 45099815990400 is 409951899054.

45099815990400 is a `hidden beast` number, since 4 + 5 + 0 + 9 + 98 + 1 + 59 + 90 + 400 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5721144859 + ... + 5721152741.

It is an arithmetic number, because the mean of its divisors is an integer number (224362872000).

Almost surely, 2^{45099815990400} is an apocalyptic number.

45099815990400 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 45099815990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86155342848000).

45099815990400 is an abundant number, since it is smaller than the sum of its proper divisors (127210869705600).

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

45099815990400 is a wasteful number, since it uses less digits than its factorization.

45099815990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10818 (or 10795 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 63.

The spelling of 45099815990400 in words is "forty-five trillion, ninety-nine billion, eight hundred fifteen million, nine hundred ninety thousand, four hundred".