1533240030400 has 168 divisors, whose sum is σ = 4076189957840. Its totient is φ = 564273008640.

The previous prime is 1533240030383. The next prime is 1533240030473. The reversal of 1533240030400 is 40300423351.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 23 ways as a sum of consecutive naturals, for example, 6265546 + ... + 6505654.

Almost surely, 2^{1533240030400} is an apocalyptic number.

1533240030400 is a gapful number since it is divisible by the number (10) 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 1533240030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2038094978920).

1533240030400 is an abundant number, since it is smaller than the sum of its proper divisors (2542949927440).

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

1533240030400 is a wasteful number, since it uses less digits than its factorization.

1533240030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240451 (or 240436 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 1533240030400 its reverse (40300423351), we get a palindrome (1573540453751).

The spelling of 1533240030400 in words is "one trillion, five hundred thirty-three billion, two hundred forty million, thirty thousand, four hundred".