5442254438400 has 1344 divisors, whose sum is σ = 21823294196340. Its totient is φ = 1337720832000.

The previous prime is 5442254438359. The next prime is 5442254438407. The reversal of 5442254438400 is 48344522445.

5442254438400 is a `hidden beast` number, since 5 + 4 + 4 + 22 + 544 + 3 + 84 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1997993558016 + 3444260880384 = 1413504^2 + 1855872^2 .

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 (5442254438407) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 7763558050 + ... + 7763558750.

Almost surely, 2^{5442254438400} is an apocalyptic number.

5442254438400 is a gapful number since it is divisible by the number (50) 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 5442254438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10911647098170).

5442254438400 is an abundant number, since it is smaller than the sum of its proper divisors (16381039757940).

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

5442254438400 is an frugal number, since it uses more digits than its factorization.

5442254438400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 45.

The spelling of 5442254438400 in words is "five trillion, four hundred forty-two billion, two hundred fifty-four million, four hundred thirty-eight thousand, four hundred".