1030144120400 has 120 divisors (see below), whose sum is σ = 2718449430720. Its totient is φ = 373397713920.

The previous prime is 1030144120333. The next prime is 1030144120409. The reversal of 1030144120400 is 40214410301.

It is a super-2 number, since 2×1030144120400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030144120409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2771837 + ... + 3121436.

It is an arithmetic number, because the mean of its divisors is an integer number (22653745256).

Almost surely, 2^{1030144120400} is an apocalyptic number.

1030144120400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1030144120400 is an abundant number, since it is smaller than the sum of its proper divisors (1688305310320).

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

1030144120400 is a wasteful number, since it uses less digits than its factorization.

1030144120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5893333 (or 5893322 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1030144120400 its reverse (40214410301), we get a palindrome (1070358530701).

The spelling of 1030144120400 in words is "one trillion, thirty billion, one hundred forty-four million, one hundred twenty thousand, four hundred".