1014242342400 has 1440 divisors, whose sum is σ = 4421634497280. Its totient is φ = 225382072320.

The previous prime is 1014242342371. The next prime is 1014242342419. The reversal of 1014242342400 is 42432424101.

1014242342400 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 24 + 234 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 805592971 + ... + 805594229.

It is an arithmetic number, because the mean of its divisors is an integer number (3070579512).

Almost surely, 2^{1014242342400} is an apocalyptic number.

1014242342400 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 1014242342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2210817248640).

1014242342400 is an abundant number, since it is smaller than the sum of its proper divisors (3407392154880).

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

1014242342400 is an equidigital number, since it uses as much as digits as its factorization.

1014242342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 1014242342400 its reverse (42432424101), we get a palindrome (1056674766501).

The spelling of 1014242342400 in words is "one trillion, fourteen billion, two hundred forty-two million, three hundred forty-two thousand, four hundred".