2415142400000 has 624 divisors, whose sum is σ = 6979821075360. Its totient is φ = 825753600000.

The previous prime is 2415142399981. The next prime is 2415142400039. The reversal of 2415142400000 is 42415142.

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, 2393599496 + ... + 2393600504.

Almost surely, 2^{2415142400000} is an apocalyptic number.

2415142400000 is a gapful number since it is divisible by the number (20) 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 2415142400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3489910537680).

2415142400000 is an abundant number, since it is smaller than the sum of its proper divisors (4564678675360).

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

2415142400000 is an equidigital number, since it uses as much as digits as its factorization.

2415142400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

Adding to 2415142400000 its reverse (42415142), we get a palindrome (2415184815142).

The spelling of 2415142400000 in words is "two trillion, four hundred fifteen billion, one hundred forty-two million, four hundred thousand".