4124400441000 has 128 divisors (see below), whose sum is σ = 14706433647360. Its totient is φ = 942720096000.

The previous prime is 4124400440957. The next prime is 4124400441071. The reversal of 4124400441000 is 1440044214.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 98179011 + ... + 98221010.

It is an arithmetic number, because the mean of its divisors is an integer number (114894012870).

Almost surely, 2^{4124400441000} is an apocalyptic number.

4124400441000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4124400441000 is an abundant number, since it is smaller than the sum of its proper divisors (10582033206360).

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

4124400441000 is a wasteful number, since it uses less digits than its factorization.

4124400441000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196400052 (or 196400038 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 4124400441000 its reverse (1440044214), we get a palindrome (4125840485214).

The spelling of 4124400441000 in words is "four trillion, one hundred twenty-four billion, four hundred million, four hundred forty-one thousand".