5454466830400 has 567 divisors, whose sum is σ = 16515232469469. Its totient is φ = 1767640734720.

The previous prime is 5454466830377. The next prime is 5454466830413. The reversal of 5454466830400 is 40386644545.

The square root of 5454466830400 is 2335480.

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

It can be written as a sum of positive squares in only one way, i.e., 1963608058944 + 3490858771456 = 1401288^2 + 1868384^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 12424753381 + ... + 12424753819.

Almost surely, 2^{5454466830400} is an apocalyptic number.

5454466830400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5454466830400 is the 2335480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5454466830400

5454466830400 is an abundant number, since it is smaller than the sum of its proper divisors (11060765639069).

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

5454466830400 is an equidigital number, since it uses as much as digits as its factorization.

5454466830400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 49.

Multiplying 5454466830400 by its sum of digits (49), we get a square (267268874689600 = 16348360²).

5454466830400 divided by its sum of digits (49) gives a square (111315649600 = 333640²).

The spelling of 5454466830400 in words is "five trillion, four hundred fifty-four billion, four hundred sixty-six million, eight hundred thirty thousand, four hundred".