4162730400 has 288 divisors, whose sum is σ = 15149030400. Its totient is φ = 1103155200.

The previous prime is 4162730389. The next prime is 4162730413. The reversal of 4162730400 is 40372614.

4162730400 is a `hidden beast` number, since 4 + 1 + 627 + 30 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4125096 + ... + 4126104.

It is an arithmetic number, because the mean of its divisors is an integer number (52600800).

Almost surely, 2^4162730400 is an apocalyptic number.

4162730400 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 4162730400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7574515200).

4162730400 is an abundant number, since it is smaller than the sum of its proper divisors (10986300000).

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

4162730400 is a wasteful number, since it uses less digits than its factorization.

4162730400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 4162730400 is about 64519.2250418431. The cubic root of 4162730400 is about 1608.6420915336.

It can be divided in two parts, 41627 and 30400, that added together give a palindrome (72027).

The spelling of 4162730400 in words is "four billion, one hundred sixty-two million, seven hundred thirty thousand, four hundred".