4405455044100 has 432 divisors, whose sum is σ = 15591437709120. Its totient is φ = 1030632422400.

The previous prime is 4405455044087. The next prime is 4405455044153. The reversal of 4405455044100 is 14405545044.

4405455044100 is a `hidden beast` number, since 4 + 4 + 0 + 5 + 45 + 504 + 4 + 100 = 666.

It is a super-2 number, since 2×4405455044100² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1009728519 + ... + 1009732881.

Almost surely, 2^{4405455044100} 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 4405455044100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7795718854560).

4405455044100 is an abundant number, since it is smaller than the sum of its proper divisors (11185982665020).

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

4405455044100 is a wasteful number, since it uses less digits than its factorization.

4405455044100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7940 (or 7930 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

The spelling of 4405455044100 in words is "four trillion, four hundred five billion, four hundred fifty-five million, forty-four thousand, one hundred".