1342177322400 has 720 divisors, whose sum is σ = 5210531504640. Its totient is φ = 335043993600.

The previous prime is 1342177322399. The next prime is 1342177322401. The reversal of 1342177322400 is 42237712431.

1342177322400 is a `hidden beast` number, since 1 + 3 + 4 + 217 + 7 + 32 + 2 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (1342177322399) and next prime (1342177322401).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1342177322401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 210402411 + ... + 210408789.

It is an arithmetic number, because the mean of its divisors is an integer number (7236849312).

Almost surely, 2^{1342177322400} is an apocalyptic number.

1342177322400 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 1342177322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2605265752320).

1342177322400 is an abundant number, since it is smaller than the sum of its proper divisors (3868354182240).

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

1342177322400 is a wasteful number, since it uses less digits than its factorization.

1342177322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6619 (or 6597 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 1342177322400 in words is "one trillion, three hundred forty-two billion, one hundred seventy-seven million, three hundred twenty-two thousand, four hundred".