4142513400 has 192 divisors, whose sum is σ = 13094161920. Its totient is φ = 1083187200.

The previous prime is 4142513387. The next prime is 4142513411. The reversal of 4142513400 is 43152414.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9611185 + ... + 9611615.

It is an arithmetic number, because the mean of its divisors is an integer number (68198760).

Almost surely, 2^4142513400 is an apocalyptic number.

4142513400 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 4142513400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6547080960).

4142513400 is an abundant number, since it is smaller than the sum of its proper divisors (8951648520).

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

4142513400 is a wasteful number, since it uses less digits than its factorization.

4142513400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 4142513400 is about 64362.3601183176. The cubic root of 4142513400 is about 1606.0336506035.

Adding to 4142513400 its reverse (43152414), we get a palindrome (4185665814).

The spelling of 4142513400 in words is "four billion, one hundred forty-two million, five hundred thirteen thousand, four hundred".