1434231242400 has 288 divisors, whose sum is σ = 5094597549888. Its totient is φ = 347571404800.

The previous prime is 1434231242393. The next prime is 1434231242429. The reversal of 1434231242400 is 42421324341.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 93263512 + ... + 93278888.

It is an arithmetic number, because the mean of its divisors is an integer number (17689574826).

Almost surely, 2^{1434231242400} is an apocalyptic number.

1434231242400 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 1434231242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2547298774944).

1434231242400 is an abundant number, since it is smaller than the sum of its proper divisors (3660366307488).

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

1434231242400 is a wasteful number, since it uses less digits than its factorization.

1434231242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18944 (or 18931 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 1434231242400 its reverse (42421324341), we get a palindrome (1476652566741).

The spelling of 1434231242400 in words is "one trillion, four hundred thirty-four billion, two hundred thirty-one million, two hundred forty-two thousand, four hundred".