5054942822400 has 405 divisors, whose sum is σ = 18122852278713. Its totient is φ = 1346833612800.

The previous prime is 5054942822339. The next prime is 5054942822407. The reversal of 5054942822400 is 42282494505.

The square root of 5054942822400 is 2248320.

It is a perfect power (a square), and thus also a powerful number.

5054942822400 is a `hidden beast` number, since 5 + 0 + 549 + 4 + 2 + 82 + 24 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1819779416064 + 3235163406336 = 1348992^2 + 1798656^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5054942822407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4316773815 + ... + 4316774985.

Almost surely, 2^{5054942822400} is an apocalyptic number.

5054942822400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5054942822400 is the 2248320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5054942822400

5054942822400 is an abundant number, since it is smaller than the sum of its proper divisors (13067909456313).

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

5054942822400 is an frugal number, since it uses more digits than its factorization.

5054942822400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2386 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

5054942822400 divided by its product of nonzero digits (921600) gives a square (5484964 = 2342²).

The spelling of 5054942822400 in words is "five trillion, fifty-four billion, nine hundred forty-two million, eight hundred twenty-two thousand, four hundred".