1347378001920 has 576 divisors, whose sum is σ = 5097783600000. Its totient is φ = 340378288128.

The previous prime is 1347378001883. The next prime is 1347378001973. The reversal of 1347378001920 is 291008737431.

1347378001920 is a `hidden beast` number, since 13 + 473 + 7 + 80 + 0 + 1 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×1347378001920³ (a number of 37 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47263831 + ... + 47292329.

It is an arithmetic number, because the mean of its divisors is an integer number (8850318750).

Almost surely, 2^{1347378001920} is an apocalyptic number.

1347378001920 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 1347378001920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2548891800000).

1347378001920 is an abundant number, since it is smaller than the sum of its proper divisors (3750405598080).

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

1347378001920 is an equidigital number, since it uses as much as digits as its factorization.

1347378001920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28560 (or 28528 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 1347378001920 in words is "one trillion, three hundred forty-seven billion, three hundred seventy-eight million, one thousand, nine hundred twenty".