534614480400 has 1920 divisors, whose sum is σ = 2430244454400. Its totient is φ = 98896896000.

The previous prime is 534614480383. The next prime is 534614480441. The reversal of 534614480400 is 4084416435.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1824622654 + ... + 1824622946.

It is an arithmetic number, because the mean of its divisors is an integer number (1265752320).

Almost surely, 2^534614480400 is an apocalyptic number.

534614480400 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 534614480400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215122227200).

534614480400 is an abundant number, since it is smaller than the sum of its proper divisors (1895629974000).

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

534614480400 is a wasteful number, since it uses less digits than its factorization.

534614480400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

Adding to 534614480400 its reverse (4084416435), we get a palindrome (538698896835).

The spelling of 534614480400 in words is "five hundred thirty-four billion, six hundred fourteen million, four hundred eighty thousand, four hundred".