1024415242000 has 80 divisors (see below), whose sum is σ = 2477813253552. Its totient is φ = 409637529600.

The previous prime is 1024415241973. The next prime is 1024415242007. The reversal of 1024415242000 is 2425144201.

It can be written as a sum of positive squares in 8 ways, for example, as 228744105984 + 795671136016 = 478272^2 + 892004^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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 (1024415242007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6427272 + ... + 6584728.

Almost surely, 2^{1024415242000} is an apocalyptic number.

1024415242000 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 1024415242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238906626776).

1024415242000 is an abundant number, since it is smaller than the sum of its proper divisors (1453398011552).

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

1024415242000 is a wasteful number, since it uses less digits than its factorization.

1024415242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160733 (or 160717 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The spelling of 1024415242000 in words is "one trillion, twenty-four billion, four hundred fifteen million, two hundred forty-two thousand".