4100975424 has 252 divisors, whose sum is σ = 14726992644. Its totient is φ = 1081479168.

The previous prime is 4100975423. The next prime is 4100975429. The reversal of 4100975424 is 4245790014.

It is a happy number.

4100975424 is a `hidden beast` number, since 4 + 100 + 9 + 7 + 542 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2118945024 + 1982030400 = 46032^2 + 44520^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4100975423) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 361324 + ... + 372500.

It is an arithmetic number, because the mean of its divisors is an integer number (58440447).

Almost surely, 2^4100975424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4100975424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7363496322).

4100975424 is an abundant number, since it is smaller than the sum of its proper divisors (10626017220).

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

4100975424 is a wasteful number, since it uses less digits than its factorization.

4100975424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11222 (or 11202 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 4100975424 is about 64038.8587031343. The cubic root of 4100975424 is about 1600.6475795318.

The spelling of 4100975424 in words is "four billion, one hundred million, nine hundred seventy-five thousand, four hundred twenty-four".