4735130400 has 1440 divisors, whose sum is σ = 23502745728. Its totient is φ = 895795200.

The previous prime is 4735130381. The next prime is 4735130431. The reversal of 4735130400 is 40315374.

4735130400 is a `hidden beast` number, since 4 + 7 + 351 + 304 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 64864764 + ... + 64864836.

Almost surely, 2^4735130400 is an apocalyptic number.

4735130400 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 4735130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11751372864).

4735130400 is an abundant number, since it is smaller than the sum of its proper divisors (18767615328).

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

4735130400 is a wasteful number, since it uses less digits than its factorization.

4735130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 4735130400 is about 68812.2837871263. The cubic root of 4735130400 is about 1679.2317916344.

Adding to 4735130400 its reverse (40315374), we get a palindrome (4775445774).

The spelling of 4735130400 in words is "four billion, seven hundred thirty-five million, one hundred thirty thousand, four hundred".