4401103261632 has 224 divisors, whose sum is σ = 14519752235520. Its totient is φ = 1142999838720.

The previous prime is 4401103261609. The next prime is 4401103261697. The reversal of 4401103261632 is 2361623011044.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 4401103261593 and 4401103261602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169071594 + ... + 169097622.

It is an arithmetic number, because the mean of its divisors is an integer number (64820322480).

Almost surely, 2^{4401103261632} is an apocalyptic number.

4401103261632 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4401103261632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7259876117760).

4401103261632 is an abundant number, since it is smaller than the sum of its proper divisors (10118648973888).

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

4401103261632 is a wasteful number, since it uses less digits than its factorization.

4401103261632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37499 (or 37489 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 4401103261632 its reverse (2361623011044), we get a palindrome (6762726272676).

The spelling of 4401103261632 in words is "four trillion, four hundred one billion, one hundred three million, two hundred sixty-one thousand, six hundred thirty-two".