1031404010400 has 432 divisors, whose sum is σ = 3833479016640. Its totient is φ = 260220211200.

The previous prime is 1031404010387. The next prime is 1031404010423. The reversal of 1031404010400 is 40104041301.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 112581820 + ... + 112590980.

It is an arithmetic number, because the mean of its divisors is an integer number (8873794020).

Almost surely, 2^{1031404010400} is an apocalyptic number.

1031404010400 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 1031404010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1916739508320).

1031404010400 is an abundant number, since it is smaller than the sum of its proper divisors (2802075006240).

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

1031404010400 is a wasteful number, since it uses less digits than its factorization.

1031404010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10029 (or 10013 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1031404010400 its reverse (40104041301), we get a palindrome (1071508051701).

The spelling of 1031404010400 in words is "one trillion, thirty-one billion, four hundred four million, ten thousand, four hundred".