4053401120 has 96 divisors (see below), whose sum is σ = 10156140288. Its totient is φ = 1523478528.

The previous prime is 4053401117. The next prime is 4053401123. The reversal of 4053401120 is 211043504.

It is an interprime number because it is at equal distance from previous prime (4053401117) and next prime (4053401123).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4053401092 and 4053401101.

It is not an unprimeable number, because it can be changed into a prime (4053401123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3053897 + ... + 3055223.

It is an arithmetic number, because the mean of its divisors is an integer number (105793128).

Almost surely, 2^4053401120 is an apocalyptic number.

4053401120 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 4053401120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5078070144).

4053401120 is an abundant number, since it is smaller than the sum of its proper divisors (6102739168).

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

4053401120 is a wasteful number, since it uses less digits than its factorization.

4053401120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2482 (or 2474 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 4053401120 is about 63666.3264214294. The cubic root of 4053401120 is about 1594.4339300779.

Adding to 4053401120 its reverse (211043504), we get a palindrome (4264444624).

The spelling of 4053401120 in words is "four billion, fifty-three million, four hundred one thousand, one hundred twenty".