153441030400 has 324 divisors, whose sum is σ = 443305949520. Its totient is φ = 52428902400.

The previous prime is 153441030397. The next prime is 153441030401. The reversal of 153441030400 is 4030144351.

153441030400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (153441030401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 118853755 + ... + 118855045.

Almost surely, 2^153441030400 is an apocalyptic number.

153441030400 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 153441030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221652974760).

153441030400 is an abundant number, since it is smaller than the sum of its proper divisors (289864919120).

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

153441030400 is a wasteful number, since it uses less digits than its factorization.

153441030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 153441030400 its reverse (4030144351), we get a palindrome (157471174751).

The spelling of 153441030400 in words is "one hundred fifty-three billion, four hundred forty-one million, thirty thousand, four hundred".