1031412044400 has 240 divisors, whose sum is σ = 3406193370624. Its totient is φ = 266589066240.

The previous prime is 1031412044357. The next prime is 1031412044419. The reversal of 1031412044400 is 44402141301.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11633037 + ... + 11721363.

Almost surely, 2^{1031412044400} is an apocalyptic number.

1031412044400 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 1031412044400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703096685312).

1031412044400 is an abundant number, since it is smaller than the sum of its proper divisors (2374781326224).

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

1031412044400 is a wasteful number, since it uses less digits than its factorization.

1031412044400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88648 (or 88637 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1031412044400 its reverse (44402141301), we get a palindrome (1075814185701).

The spelling of 1031412044400 in words is "one trillion, thirty-one billion, four hundred twelve million, forty-four thousand, four hundred".