543001406400 has 2016 divisors, whose sum is σ = 2302060277760. Its totient is φ = 124084224000.

The previous prime is 543001406359. The next prime is 543001406459. The reversal of 543001406400 is 4604100345.

543001406400 is a `hidden beast` number, since 5 + 4 + 3 + 0 + 0 + 14 + 0 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8901662370 + ... + 8901662430.

Almost surely, 2^543001406400 is an apocalyptic number.

543001406400 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 543001406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151030138880).

543001406400 is an abundant number, since it is smaller than the sum of its proper divisors (1759058871360).

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

543001406400 is a wasteful number, since it uses less digits than its factorization.

543001406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 142 counting only the distinct ones).

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

Adding to 543001406400 its reverse (4604100345), we get a palindrome (547605506745).

The spelling of 543001406400 in words is "five hundred forty-three billion, one million, four hundred six thousand, four hundred".