4240322102400 has 384 divisors, whose sum is σ = 14359679136000. Its totient is φ = 1099249090560.

The previous prime is 4240322102371. The next prime is 4240322102413. The reversal of 4240322102400 is 42012230424.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 67197264 + ... + 67260336.

It is an arithmetic number, because the mean of its divisors is an integer number (37394997750).

Almost surely, 2^{4240322102400} is an apocalyptic number.

4240322102400 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 4240322102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7179839568000).

4240322102400 is an abundant number, since it is smaller than the sum of its proper divisors (10119357033600).

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

4240322102400 is a wasteful number, since it uses less digits than its factorization.

4240322102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63296 (or 63279 counting only the distinct ones).

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

Adding to 4240322102400 its reverse (42012230424), we get a palindrome (4282334332824).

The spelling of 4240322102400 in words is "four trillion, two hundred forty billion, three hundred twenty-two million, one hundred two thousand, four hundred".