1044048218400 has 864 divisors, whose sum is σ = 4216380884352. Its totient is φ = 240626073600.

The previous prime is 1044048218399. The next prime is 1044048218419. The reversal of 1044048218400 is 48128404401.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 315135144 + ... + 315138456.

It is an arithmetic number, because the mean of its divisors is an integer number (4880070468).

Almost surely, 2^{1044048218400} is an apocalyptic number.

1044048218400 is a gapful number since it is divisible by the number (10) 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 1044048218400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2108190442176).

1044048218400 is an abundant number, since it is smaller than the sum of its proper divisors (3172332665952).

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

1044048218400 is a wasteful number, since it uses less digits than its factorization.

1044048218400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3546 (or 3530 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 1044048218400 in words is "one trillion, forty-four billion, forty-eight million, two hundred eighteen thousand, four hundred".