1351964832000 has 576 divisors, whose sum is σ = 4617125210880. Its totient is φ = 350429184000.

The previous prime is 1351964831993. The next prime is 1351964832007. The reversal of 1351964832000 is 2384691531.

It is an interprime number because it is at equal distance from previous prime (1351964831993) and next prime (1351964832007).

It is not an unprimeable number, because it can be changed into a prime (1351964832007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1531103559 + ... + 1531104441.

It is an arithmetic number, because the mean of its divisors is an integer number (8015842380).

Almost surely, 2^{1351964832000} is an apocalyptic number.

1351964832000 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 1351964832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2308562605440).

1351964832000 is an abundant number, since it is smaller than the sum of its proper divisors (3265160378880).

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

1351964832000 is an equidigital number, since it uses as much as digits as its factorization.

1351964832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 1351964832000 in words is "one trillion, three hundred fifty-one billion, nine hundred sixty-four million, eight hundred thirty-two thousand".