4149008528100 has 288 divisors, whose sum is σ = 12687192967680. Its totient is φ = 1043957237760.

The previous prime is 4149008528033. The next prime is 4149008528101. The reversal of 4149008528100 is 18258009414.

It is a super-2 number, since 2×4149008528100² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4149008528101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1767791127 + ... + 1767793473.

It is an arithmetic number, because the mean of its divisors is an integer number (44052753360).

Almost surely, 2^{4149008528100} 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 4149008528100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6343596483840).

4149008528100 is an abundant number, since it is smaller than the sum of its proper divisors (8538184439580).

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

4149008528100 is a wasteful number, since it uses less digits than its factorization.

4149008528100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3499 (or 3492 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The spelling of 4149008528100 in words is "four trillion, one hundred forty-nine billion, eight million, five hundred twenty-eight thousand, one hundred".