4111374400 has 189 divisors, whose sum is σ = 11819846439. Its totient is φ = 1403458560.

The previous prime is 4111374389. The next prime is 4111374431. The reversal of 4111374400 is 44731114.

It is a happy number.

The square root of 4111374400 is 64120.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 561121344 + 3550253056 = 23688^2 + 59584^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17953486 + ... + 17953714.

Almost surely, 2^4111374400 is an apocalyptic number.

4111374400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4111374400 is the 64120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4111374400

4111374400 is an abundant number, since it is smaller than the sum of its proper divisors (7708472039).

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

4111374400 is an equidigital number, since it uses as much as digits as its factorization.

4111374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The cubic root of 4111374400 is about 1601.9993755203. Note that the first 3 decimals are identical.

Multiplying 4111374400 by its sum of digits (25), we get a square (102784360000 = 320600²).

4111374400 divided by its sum of digits (25) gives a square (164454976 = 12824²).

The spelling of 4111374400 in words is "four billion, one hundred eleven million, three hundred seventy-four thousand, four hundred".