1353857339340 has 1152 divisors, whose sum is σ = 5173635317760. Its totient is φ = 293148979200.

The previous prime is 1353857339333. The next prime is 1353857339381. The reversal of 1353857339340 is 439337583531.

1353857339340 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 8 + 573 + 39 + 34 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4995783405 + ... + 4995783675.

It is an arithmetic number, because the mean of its divisors is an integer number (4491002880).

Almost surely, 2^{1353857339340} is an apocalyptic number.

1353857339340 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 1353857339340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2586817658880).

1353857339340 is an abundant number, since it is smaller than the sum of its proper divisors (3819777978420).

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

1353857339340 is a wasteful number, since it uses less digits than its factorization.

1353857339340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 54.

The spelling of 1353857339340 in words is "one trillion, three hundred fifty-three billion, eight hundred fifty-seven million, three hundred thirty-nine thousand, three hundred forty".