1431023240400 has 240 divisors, whose sum is σ = 4937706258240. Its totient is φ = 352177459200.

The previous prime is 1431023240399. The next prime is 1431023240417. The reversal of 1431023240400 is 40423201341.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128210820 + ... + 128221980.

It is an arithmetic number, because the mean of its divisors is an integer number (20573776076).

Almost surely, 2^{1431023240400} is an apocalyptic number.

1431023240400 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 1431023240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2468853129120).

1431023240400 is an abundant number, since it is smaller than the sum of its proper divisors (3506683017840).

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

1431023240400 is a wasteful number, since it uses less digits than its factorization.

1431023240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19414 (or 19403 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1431023240400 its reverse (40423201341), we get a palindrome (1471446441741).

The spelling of 1431023240400 in words is "one trillion, four hundred thirty-one billion, twenty-three million, two hundred forty thousand, four hundred".