4100444443040 has 96 divisors (see below), whose sum is σ = 10569915913536. Its totient is φ = 1490795253760.

The previous prime is 4100444443031. The next prime is 4100444443091. The reversal of 4100444443040 is 403444440014.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 4100444442988 and 4100444443006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9437624 + ... + 9862536.

It is an arithmetic number, because the mean of its divisors is an integer number (110103290766).

Almost surely, 2^{4100444443040} is an apocalyptic number.

4100444443040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4100444443040 is an abundant number, since it is smaller than the sum of its proper divisors (6469471470496).

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

4100444443040 is a wasteful number, since it uses less digits than its factorization.

4100444443040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430422 (or 430414 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 4100444443040 its reverse (403444440014), we get a palindrome (4503888883054).

The spelling of 4100444443040 in words is "four trillion, one hundred billion, four hundred forty-four million, four hundred forty-three thousand, forty".