5401348454400 has 576 divisors, whose sum is σ = 18838638000000. Its totient is φ = 1361449451520.

The previous prime is 5401348454389. The next prime is 5401348454479. The reversal of 5401348454400 is 44548431045.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1456279746 + ... + 1456283454.

It is an arithmetic number, because the mean of its divisors is an integer number (32705968750).

Almost surely, 2^{5401348454400} is an apocalyptic number.

5401348454400 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 5401348454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9419319000000).

5401348454400 is an abundant number, since it is smaller than the sum of its proper divisors (13437289545600).

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

5401348454400 is a wasteful number, since it uses less digits than its factorization.

5401348454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4262 (or 4237 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 42.

The spelling of 5401348454400 in words is "five trillion, four hundred one billion, three hundred forty-eight million, four hundred fifty-four thousand, four hundred".