1343909750400 has 1152 divisors, whose sum is σ = 5793441696000. Its totient is φ = 307100989440.

The previous prime is 1343909750387. The next prime is 1343909750401. The reversal of 1343909750400 is 40579093431.

1343909750400 is a `hidden beast` number, since 13 + 43 + 9 + 0 + 97 + 504 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1343909750401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 342919641 + ... + 342923559.

It is an arithmetic number, because the mean of its divisors is an integer number (5029029250).

Almost surely, 2^{1343909750400} is an apocalyptic number.

1343909750400 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 1343909750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2896720848000).

1343909750400 is an abundant number, since it is smaller than the sum of its proper divisors (4449531945600).

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

1343909750400 is an frugal number, since it uses more digits than its factorization.

1343909750400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3978 (or 3936 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 1343909750400 in words is "one trillion, three hundred forty-three billion, nine hundred nine million, seven hundred fifty thousand, four hundred".