4024340400120 has 256 divisors, whose sum is σ = 13060070553600. Its totient is φ = 988579676160.

The previous prime is 4024340400109. The next prime is 4024340400121. The reversal of 4024340400120 is 210040434204.

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 not an unprimeable number, because it can be changed into a prime (4024340400121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 143144865 + ... + 143172975.

It is an arithmetic number, because the mean of its divisors is an integer number (51015900600).

Almost surely, 2^{4024340400120} is an apocalyptic number.

4024340400120 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 4024340400120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6530035276800).

4024340400120 is an abundant number, since it is smaller than the sum of its proper divisors (9035730153480).

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

4024340400120 is a wasteful number, since it uses less digits than its factorization.

4024340400120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29878 (or 29874 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 4024340400120 its reverse (210040434204), we get a palindrome (4234380834324).

The spelling of 4024340400120 in words is "four trillion, twenty-four billion, three hundred forty million, four hundred thousand, one hundred twenty".