403020101120 has 320 divisors, whose sum is σ = 1192254940800. Its totient is φ = 127232114688.

The previous prime is 403020101117. The next prime is 403020101129. The reversal of 403020101120 is 21101020304.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 403020101095 and 403020101104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (403020101129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104597114 + ... + 104600966.

It is an arithmetic number, because the mean of its divisors is an integer number (3725796690).

Almost surely, 2^403020101120 is an apocalyptic number.

403020101120 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 403020101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596127470400).

403020101120 is an abundant number, since it is smaller than the sum of its proper divisors (789234839680).

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

403020101120 is a wasteful number, since it uses less digits than its factorization.

403020101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4345 (or 4329 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 403020101120 its reverse (21101020304), we get a palindrome (424121121424).

The spelling of 403020101120 in words is "four hundred three billion, twenty million, one hundred one thousand, one hundred twenty".