4132346400 has 1296 divisors, whose sum is σ = 19693130184. Its totient is φ = 805109760.

The previous prime is 4132346389. The next prime is 4132346411. The reversal of 4132346400 is 46432314.

4132346400 is a `hidden beast` number, since 4 + 13 + 2 + 3 + 4 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4132346389) and next prime (4132346411).

It can be written as a sum of positive squares in 12 ways, for example, as 403045776 + 3729300624 = 20076^2 + 61068^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 77968774 + ... + 77968826.

Almost surely, 2^4132346400 is an apocalyptic number.

4132346400 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 4132346400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9846565092).

4132346400 is an abundant number, since it is smaller than the sum of its proper divisors (15560783784).

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

4132346400 is a wasteful number, since it uses less digits than its factorization.

4132346400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 4132346400 is about 64283.3290986085. The cubic root of 4132346400 is about 1604.7186743068.

Adding to 4132346400 its reverse (46432314), we get a palindrome (4178778714).

The spelling of 4132346400 in words is "four billion, one hundred thirty-two million, three hundred forty-six thousand, four hundred".