4101542400 has 480 divisors, whose sum is σ = 14722950528. Its totient is φ = 1002700800.

The previous prime is 4101542399. The next prime is 4101542447. The reversal of 4101542400 is 42451014.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

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, 39820749 + ... + 39820851.

Almost surely, 2^4101542400 is an apocalyptic number.

4101542400 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 4101542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7361475264).

4101542400 is an abundant number, since it is smaller than the sum of its proper divisors (10621408128).

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

4101542400 is a wasteful number, since it uses less digits than its factorization.

4101542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 4101542400 is about 64043.2853623235. The cubic root of 4101542400 is about 1600.7213414094.

Adding to 4101542400 its reverse (42451014), we get a palindrome (4143993414).

The spelling of 4101542400 in words is "four billion, one hundred one million, five hundred forty-two thousand, four hundred".