5401958400 has 432 divisors, whose sum is σ = 20397522600. Its totient is φ = 1362493440.

The previous prime is 5401958357. The next prime is 5401958407. The reversal of 5401958400 is 48591045.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5401958407) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 8754892 + ... + 8755508.

Almost surely, 2^5401958400 is an apocalyptic number.

5401958400 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 5401958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10198761300).

5401958400 is an abundant number, since it is smaller than the sum of its proper divisors (14995564200).

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

5401958400 is a wasteful number, since it uses less digits than its factorization.

5401958400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 5401958400 is about 73498.0162997615. The cubic root of 5401958400 is about 1754.6227060470.

The spelling of 5401958400 in words is "five billion, four hundred one million, nine hundred fifty-eight thousand, four hundred".