1342400004000 has 576 divisors, whose sum is σ = 5232395750400. Its totient is φ = 323232000000.

The previous prime is 1342400003999. The next prime is 1342400004007. The reversal of 1342400004000 is 4000042431.

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

It is not an unprimeable number, because it can be changed into a prime (1342400004007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58992625 + ... + 59015375.

It is an arithmetic number, because the mean of its divisors is an integer number (9084020400).

Almost surely, 2^{1342400004000} is an apocalyptic number.

1342400004000 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 1342400004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2616197875200).

1342400004000 is an abundant number, since it is smaller than the sum of its proper divisors (3889995746400).

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

1342400004000 is a wasteful number, since it uses less digits than its factorization.

1342400004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22942 (or 22921 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 1342400004000 its reverse (4000042431), we get a palindrome (1346400046431).

The spelling of 1342400004000 in words is "one trillion, three hundred forty-two billion, four hundred million, four thousand".