4405003416100 has 81 divisors (see below), whose sum is σ = 11119858066737. Its totient is φ = 1510236514080.

The previous prime is 4405003416067. The next prime is 4405003416103. The reversal of 4405003416100 is 16143005044.

The square root of 4405003416100 is 2098810.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1585801229796 + 2819202186304 = 1259286^2 + 1679048^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (4405003416103) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 146901709 + ... + 146931691.

Almost surely, 2^{4405003416100} is an apocalyptic number.

4405003416100 is the 2098810-th square number.

It is an amenable number.

4405003416100 is an abundant number, since it is smaller than the sum of its proper divisors (6714854650637).

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

4405003416100 is an frugal number, since it uses more digits than its factorization.

4405003416100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59994 (or 29997 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The spelling of 4405003416100 in words is "four trillion, four hundred five billion, three million, four hundred sixteen thousand, one hundred".