1031030400400 has 720 divisors, whose sum is σ = 3373800812928. Its totient is φ = 296458905600.

The previous prime is 1031030400373. The next prime is 1031030400401. The reversal of 1031030400400 is 40040301301.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1031030400401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 629828382 + ... + 629830018.

Almost surely, 2^{1031030400400} is an apocalyptic number.

1031030400400 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 1031030400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686900406464).

1031030400400 is an abundant number, since it is smaller than the sum of its proper divisors (2342770412528).

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

1031030400400 is a wasteful number, since it uses less digits than its factorization.

1031030400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1721 (or 1675 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 1031030400400 its reverse (40040301301), we get a palindrome (1071070701701).

Subtracting from 1031030400400 its reverse (40040301301), we obtain a palindrome (990990099099).

The spelling of 1031030400400 in words is "one trillion, thirty-one billion, thirty million, four hundred thousand, four hundred".