1352191493400 has 384 divisors, whose sum is σ = 4706429840640. Its totient is φ = 318318336000.

The previous prime is 1352191493371. The next prime is 1352191493453. The reversal of 1352191493400 is 43941912531.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49083630 + ... + 49111170.

It is an arithmetic number, because the mean of its divisors is an integer number (12256327710).

Almost surely, 2^{1352191493400} is an apocalyptic number.

1352191493400 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 1352191493400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2353214920320).

1352191493400 is an abundant number, since it is smaller than the sum of its proper divisors (3354238347240).

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

1352191493400 is a wasteful number, since it uses less digits than its factorization.

1352191493400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27787 (or 27778 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The spelling of 1352191493400 in words is "one trillion, three hundred fifty-two billion, one hundred ninety-one million, four hundred ninety-three thousand, four hundred".