4153145400 has 480 divisors, whose sum is σ = 15448118400. Its totient is φ = 1031097600.

The previous prime is 4153145357. The next prime is 4153145429. The reversal of 4153145400 is 45413514.

It is a happy number.

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

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 31703335 + ... + 31703465.

It is an arithmetic number, because the mean of its divisors is an integer number (32183580).

Almost surely, 2^4153145400 is an apocalyptic number.

4153145400 is a gapful number since it is divisible by the number (40) 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 4153145400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7724059200).

4153145400 is an abundant number, since it is smaller than the sum of its proper divisors (11294973000).

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

4153145400 is a wasteful number, since it uses less digits than its factorization.

4153145400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 4153145400 is about 64444.9020481838. The cubic root of 4153145400 is about 1607.4064695204.

Adding to 4153145400 its reverse (45413514), we get a palindrome (4198558914).

The spelling of 4153145400 in words is "four billion, one hundred fifty-three million, one hundred forty-five thousand, four hundred".