3053044100400 has 480 divisors, whose sum is σ = 11835869122560. Its totient is φ = 657145820160.

The previous prime is 3053044100383. The next prime is 3053044100411. The reversal of 3053044100400 is 40014403503.

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 95 ways as a sum of consecutive naturals, for example, 26595927 + ... + 26710473.

It is an arithmetic number, because the mean of its divisors is an integer number (24658060672).

Almost surely, 2^{3053044100400} is an apocalyptic number.

3053044100400 is a gapful number since it is divisible by the number (30) 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 3053044100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5917934561280).

3053044100400 is an abundant number, since it is smaller than the sum of its proper divisors (8782825022160).

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

3053044100400 is a wasteful number, since it uses less digits than its factorization.

3053044100400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114761 (or 114750 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 3053044100400 its reverse (40014403503), we get a palindrome (3093058503903).

The spelling of 3053044100400 in words is "three trillion, fifty-three billion, forty-four million, one hundred thousand, four hundred".