4101402223424 has 168 divisors, whose sum is σ = 9026685528000. Its totient is φ = 1847481292800.

The previous prime is 4101402223409. The next prime is 4101402223511. The reversal of 4101402223424 is 4243222041014.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 644770004 + ... + 644776364.

It is an arithmetic number, because the mean of its divisors is an integer number (53730271000).

Almost surely, 2^{4101402223424} is an apocalyptic number.

4101402223424 is a gapful number since it is divisible by the number (44) 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 4101402223424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4513342764000).

4101402223424 is an abundant number, since it is smaller than the sum of its proper divisors (4925283304576).

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

4101402223424 is a wasteful number, since it uses less digits than its factorization.

4101402223424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7133 (or 7112 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 4101402223424 its reverse (4243222041014), we get a palindrome (8344624264438).

The spelling of 4101402223424 in words is "four trillion, one hundred one billion, four hundred two million, two hundred twenty-three thousand, four hundred twenty-four".