1415142400 has 264 divisors, whose sum is σ = 4112013600. Its totient is φ = 472842240.

The previous prime is 1415142389. The next prime is 1415142403. The reversal of 1415142400 is 42415141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1415142403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9497526 + ... + 9497674.

Almost surely, 2^1415142400 is an apocalyptic number.

1415142400 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 1415142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2056006800).

1415142400 is an abundant number, since it is smaller than the sum of its proper divisors (2696871200).

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

1415142400 is a wasteful number, since it uses less digits than its factorization.

1415142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 1415142400 is about 37618.3784871172. The cubic root of 1415142400 is about 1122.7077341671.

Adding to 1415142400 its reverse (42415141), we get a palindrome (1457557541).

It can be divided in two parts, 14 and 15142400, that multiplied together give a square (211993600 = 14560²).

The spelling of 1415142400 in words is "one billion, four hundred fifteen million, one hundred forty-two thousand, four hundred".