4144770400 has 36 divisors (see below), whose sum is σ = 10118422692. Its totient is φ = 1657907840.

The previous prime is 4144770397. The next prime is 4144770403. The reversal of 4144770400 is 40774414.

It is an interprime number because it is at equal distance from previous prime (4144770397) and next prime (4144770403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144770403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2589682 + ... + 2591281.

It is an arithmetic number, because the mean of its divisors is an integer number (281067297).

Almost surely, 2^4144770400 is an apocalyptic number.

4144770400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4144770400 is an abundant number, since it is smaller than the sum of its proper divisors (5973652292).

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

4144770400 is a wasteful number, since it uses less digits than its factorization.

4144770400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5180983 (or 5180970 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 31.

The square root of 4144770400 is about 64379.8912704891. The cubic root of 4144770400 is about 1606.3252738674.

The spelling of 4144770400 in words is "four billion, one hundred forty-four million, seven hundred seventy thousand, four hundred".