1342014114400 has 36 divisors (see below), whose sum is σ = 3276191958732. Its totient is φ = 536805645440.

The previous prime is 1342014114391. The next prime is 1342014114407. The reversal of 1342014114400 is 44114102431.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1342014114407) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 838758022 + ... + 838759621.

It is an arithmetic number, because the mean of its divisors is an integer number (91005332187).

Almost surely, 2^{1342014114400} is an apocalyptic number.

1342014114400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1342014114400 is an abundant number, since it is smaller than the sum of its proper divisors (1934177844332).

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

1342014114400 is a wasteful number, since it uses less digits than its factorization.

1342014114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677517663 (or 1677517650 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 1342014114400 its reverse (44114102431), we get a palindrome (1386128216831).

The spelling of 1342014114400 in words is "one trillion, three hundred forty-two billion, fourteen million, one hundred fourteen thousand, four hundred".