4728972144400 has 315 divisors, whose sum is σ = 13296844209439. Its totient is φ = 1616247171840.

The previous prime is 4728972144361. The next prime is 4728972144419. The reversal of 4728972144400 is 44412798274.

The square root of 4728972144400 is 2174620.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1908829612816 + 2820142531584 = 1381604^2 + 1679328^2 .

It is a super-2 number, since 2×4728972144400² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 14917893042 + ... + 14917893358.

Almost surely, 2^{4728972144400} is an apocalyptic number.

4728972144400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4728972144400 is the 2174620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4728972144400

4728972144400 is an abundant number, since it is smaller than the sum of its proper divisors (8567872065039).

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

4728972144400 is an frugal number, since it uses more digits than its factorization.

4728972144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 52.

The spelling of 4728972144400 in words is "four trillion, seven hundred twenty-eight billion, nine hundred seventy-two million, one hundred forty-four thousand, four hundred".