4153556420 has 48 divisors (see below), whose sum is σ = 9418830960. Its totient is φ = 1529473536.

The previous prime is 4153556419. The next prime is 4153556441. The reversal of 4153556420 is 246553514.

It can be written as a sum of positive squares in 8 ways, for example, as 20866624 + 4132689796 = 4568^2 + 64286^2 .

It is a super-3 number, since 3×4153556420³ (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75566 + ... + 118394.

It is an arithmetic number, because the mean of its divisors is an integer number (196225645).

Almost surely, 2^4153556420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4153556420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4709415480).

4153556420 is an abundant number, since it is smaller than the sum of its proper divisors (5265274540).

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

4153556420 is a wasteful number, since it uses less digits than its factorization.

4153556420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43224 (or 43222 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The square root of 4153556420 is about 64448.0908949210. The cubic root of 4153556420 is about 1607.4594939432.

The spelling of 4153556420 in words is "four billion, one hundred fifty-three million, five hundred fifty-six thousand, four hundred twenty".