535240742400 has 2880 divisors, whose sum is σ = 2565065158656. Its totient is φ = 107495424000.

The previous prime is 535240742383. The next prime is 535240742411. The reversal of 535240742400 is 4247042535.

535240742400 is a `hidden beast` number, since 5 + 3 + 5 + 2 + 407 + 4 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8774438370 + ... + 8774438430.

Almost surely, 2^535240742400 is an apocalyptic number.

535240742400 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 535240742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282532579328).

535240742400 is an abundant number, since it is smaller than the sum of its proper divisors (2029824416256).

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

535240742400 is a wasteful number, since it uses less digits than its factorization.

535240742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 36.

Adding to 535240742400 its reverse (4247042535), we get a palindrome (539487784935).

The spelling of 535240742400 in words is "five hundred thirty-five billion, two hundred forty million, seven hundred forty-two thousand, four hundred".