4406010251120 has 80 divisors (see below), whose sum is σ = 10474146004608. Its totient is φ = 1722892154880.

The previous prime is 4406010251119. The next prime is 4406010251129. The reversal of 4406010251120 is 211520106044.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×4406010251120² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4406010251120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4406010251129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2538650 + ... + 3905990.

Almost surely, 2^{4406010251120} is an apocalyptic number.

4406010251120 is a gapful number since it is divisible by the number (40) 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 4406010251120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5237073002304).

4406010251120 is an abundant number, since it is smaller than the sum of its proper divisors (6068135753488).

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

4406010251120 is a wasteful number, since it uses less digits than its factorization.

4406010251120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368258 (or 1368252 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 4406010251120 its reverse (211520106044), we get a palindrome (4617530357164).

The spelling of 4406010251120 in words is "four trillion, four hundred six billion, ten million, two hundred fifty-one thousand, one hundred twenty".