1031342400 has 504 divisors, whose sum is σ = 4245156864. Its totient is φ = 234700800.

The previous prime is 1031342381. The next prime is 1031342407. The reversal of 1031342400 is 42431301.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031342407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2692609 + ... + 2692991.

Almost surely, 2^1031342400 is an apocalyptic number.

1031342400 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 1031342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2122578432).

1031342400 is an abundant number, since it is smaller than the sum of its proper divisors (3213814464).

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

1031342400 is a wasteful number, since it uses less digits than its factorization.

1031342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1031342400 is about 32114.5200804870. The cubic root of 1031342400 is about 1010.3401788465.

Adding to 1031342400 its reverse (42431301), we get a palindrome (1073773701).

The spelling of 1031342400 in words is "one billion, thirty-one million, three hundred forty-two thousand, four hundred".