4142240520000 has 1120 divisors, whose sum is σ = 15554108592000. Its totient is φ = 963379200000.

The previous prime is 4142240519981. The next prime is 4142240520013. The reversal of 4142240520000 is 250422414.

It is a happy number.

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 159 ways as a sum of consecutive naturals, for example, 9225479776 + ... + 9225480224.

Almost surely, 2^{4142240520000} is an apocalyptic number.

4142240520000 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 4142240520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7777054296000).

4142240520000 is an abundant number, since it is smaller than the sum of its proper divisors (11411868072000).

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

4142240520000 is a wasteful number, since it uses less digits than its factorization.

4142240520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

Adding to 4142240520000 its reverse (250422414), we get a palindrome (4142490942414).

The spelling of 4142240520000 in words is "four trillion, one hundred forty-two billion, two hundred forty million, five hundred twenty thousand".