5402726400 has 312 divisors, whose sum is σ = 18322939360. Its totient is φ = 1403781120.

The previous prime is 5402726389. The next prime is 5402726401. The reversal of 5402726400 is 46272045.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (5402726401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13209396 + ... + 13209804.

Almost surely, 2^5402726400 is an apocalyptic number.

5402726400 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 5402726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9161469680).

5402726400 is an abundant number, since it is smaller than the sum of its proper divisors (12920212960).

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

5402726400 is a wasteful number, since it uses less digits than its factorization.

5402726400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 5402726400 is about 73503.2407448814. The cubic root of 5402726400 is about 1754.7058540637.

Adding to 5402726400 its reverse (46272045), we get a palindrome (5448998445).

The spelling of 5402726400 in words is "five billion, four hundred two million, seven hundred twenty-six thousand, four hundred".