5412326400 has 594 divisors, whose sum is σ = 21134988420. Its totient is φ = 1322680320.

The previous prime is 5412326399. The next prime is 5412326411. The reversal of 5412326400 is 46232145.

5412326400 is a `hidden beast` number, since 5 + 4 + 12 + 3 + 2 + 640 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 38937531 + ... + 38937669.

Almost surely, 2^5412326400 is an apocalyptic number.

5412326400 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 5412326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10567494210).

5412326400 is an abundant number, since it is smaller than the sum of its proper divisors (15722662020).

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

5412326400 is a wasteful number, since it uses less digits than its factorization.

5412326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 5412326400 is about 73568.5150047220. The cubic root of 5412326400 is about 1755.7445400592.

Adding to 5412326400 its reverse (46232145), we get a palindrome (5458558545).

The spelling of 5412326400 in words is "five billion, four hundred twelve million, three hundred twenty-six thousand, four hundred".