1352919968400 has 1080 divisors, whose sum is σ = 5955812937504. Its totient is φ = 259480166400.

The previous prime is 1352919968377. The next prime is 1352919968417. The reversal of 1352919968400 is 48699192531.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 109303012 + ... + 109315388.

Almost surely, 2^{1352919968400} is an apocalyptic number.

1352919968400 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 1352919968400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2977906468752).

1352919968400 is an abundant number, since it is smaller than the sum of its proper divisors (4602892969104).

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

1352919968400 is a wasteful number, since it uses less digits than its factorization.

1352919968400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12449 (or 12418 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 57.

The spelling of 1352919968400 in words is "one trillion, three hundred fifty-two billion, nine hundred nineteen million, nine hundred sixty-eight thousand, four hundred".