5401334400 has 384 divisors, whose sum is σ = 22183580160. Its totient is φ = 1122201600.

The previous prime is 5401334369. The next prime is 5401334417. The reversal of 5401334400 is 44331045.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 735547 + ... + 742853.

It is an arithmetic number, because the mean of its divisors is an integer number (57769740).

Almost surely, 2^5401334400 is an apocalyptic number.

5401334400 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 5401334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11091790080).

5401334400 is an abundant number, since it is smaller than the sum of its proper divisors (16782245760).

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

5401334400 is a wasteful number, since it uses less digits than its factorization.

5401334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7352 (or 7335 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 5401334400 is about 73493.7711646368. The cubic root of 5401334400 is about 1754.5551424803. Note that the first 3 decimals are identical.

Adding to 5401334400 its reverse (44331045), we get a palindrome (5445665445).

The spelling of 5401334400 in words is "five billion, four hundred one million, three hundred thirty-four thousand, four hundred".