4101062400 has 432 divisors, whose sum is σ = 15275793120. Its totient is φ = 1089884160.

The previous prime is 4101062369. The next prime is 4101062431. The reversal of 4101062400 is 42601014.

4101062400 is a `hidden beast` number, since 41 + 0 + 1 + 0 + 624 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4101062369) and next prime (4101062431).

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

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, 13996654 + ... + 13996946.

Almost surely, 2^4101062400 is an apocalyptic number.

4101062400 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 4101062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7637896560).

4101062400 is an abundant number, since it is smaller than the sum of its proper divisors (11174730720).

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

4101062400 is an frugal number, since it uses more digits than its factorization.

4101062400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4101062400 is about 64039.5377872139. The cubic root of 4101062400 is about 1600.6588952900.

Adding to 4101062400 its reverse (42601014), we get a palindrome (4143663414).

The spelling of 4101062400 in words is "four billion, one hundred one million, sixty-two thousand, four hundred".