1031411212400 has 120 divisors (see below), whose sum is σ = 2524752654000. Its totient is φ = 404822753280.

The previous prime is 1031411212399. The next prime is 1031411212459. The reversal of 1031411212400 is 42121141301.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6812726 + ... + 6962474.

It is an arithmetic number, because the mean of its divisors is an integer number (21039605450).

Almost surely, 2^{1031411212400} is an apocalyptic number.

1031411212400 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 1031411212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262376327000).

1031411212400 is an abundant number, since it is smaller than the sum of its proper divisors (1493341441600).

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

1031411212400 is a wasteful number, since it uses less digits than its factorization.

1031411212400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150091 (or 150080 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 1031411212400 its reverse (42121141301), we get a palindrome (1073532353701).

The spelling of 1031411212400 in words is "one trillion, thirty-one billion, four hundred eleven million, two hundred twelve thousand, four hundred".