5414402400 has 576 divisors, whose sum is σ = 20689675776. Its totient is φ = 1216512000.

The previous prime is 5414402351. The next prime is 5414402407. The reversal of 5414402400 is 42044145.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5414402407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22466280 + ... + 22466520.

It is an arithmetic number, because the mean of its divisors is an integer number (35919576).

Almost surely, 2^5414402400 is an apocalyptic number.

5414402400 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 5414402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10344837888).

5414402400 is an abundant number, since it is smaller than the sum of its proper divisors (15275273376).

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

5414402400 is a wasteful number, since it uses less digits than its factorization.

5414402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 5414402400 is about 73582.6229486283. The cubic root of 5414402400 is about 1755.9689943554.

Adding to 5414402400 its reverse (42044145), we get a palindrome (5456446545).

The spelling of 5414402400 in words is "five billion, four hundred fourteen million, four hundred two thousand, four hundred".