4361146400 has 108 divisors (see below), whose sum is σ = 11528976942. Its totient is φ = 1610219520.

The previous prime is 4361146351. The next prime is 4361146409. The reversal of 4361146400 is 46411634.

It can be written as a sum of positive squares in 9 ways, for example, as 300398224 + 4060748176 = 17332^2 + 63724^2 .

It is not an unprimeable number, because it can be changed into a prime (4361146409) 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, 119072 + ... + 151328.

Almost surely, 2^4361146400 is an apocalyptic number.

4361146400 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 4361146400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5764488471).

4361146400 is an abundant number, since it is smaller than the sum of its proper divisors (7167830542).

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

4361146400 is a wasteful number, since it uses less digits than its factorization.

4361146400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32303 (or 32277 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 4361146400 is about 66038.9763700195. The cubic root of 4361146400 is about 1633.8050042294.

The spelling of 4361146400 in words is "four billion, three hundred sixty-one million, one hundred forty-six thousand, four hundred".