4020134400 has 180 divisors, whose sum is σ = 14387363562. Its totient is φ = 1072005120.

The previous prime is 4020134369. The next prime is 4020134407. The reversal of 4020134400 is 44310204.

It can be written as a sum of positive squares in 3 ways, for example, as 1820899584 + 2199234816 = 42672^2 + 46896^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×4020134400² = 32322961188126720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4020134407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 97752 + ... + 132648.

Almost surely, 2^4020134400 is an apocalyptic number.

4020134400 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 4020134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7193681781).

4020134400 is an abundant number, since it is smaller than the sum of its proper divisors (10367229162).

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

4020134400 is a wasteful number, since it uses less digits than its factorization.

4020134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34931 (or 34907 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4020134400 is about 63404.5298066313. The cubic root of 4020134400 is about 1590.0600428257.

Adding to 4020134400 its reverse (44310204), we get a palindrome (4064444604).

The spelling of 4020134400 in words is "four billion, twenty million, one hundred thirty-four thousand, four hundred".