4405235042100 has 144 divisors (see below), whose sum is σ = 13419385548800. Its totient is φ = 1112674216320.

The previous prime is 4405235042099. The next prime is 4405235042101. The reversal of 4405235042100 is 12405325044.

It is an interprime number because it is at equal distance from previous prime (4405235042099) and next prime (4405235042101).

It is a super-2 number, since 2×4405235042100² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4405235042101) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 28759917 + ... + 28912683.

Almost surely, 2^{4405235042100} 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 4405235042100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6709692774400).

4405235042100 is an abundant number, since it is smaller than the sum of its proper divisors (9014150506700).

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

4405235042100 is a wasteful number, since it uses less digits than its factorization.

4405235042100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157862 (or 157855 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 4405235042100 in words is "four trillion, four hundred five billion, two hundred thirty-five million, forty-two thousand, one hundred".