1354755429000 has 512 divisors, whose sum is σ = 4742352576000. Its totient is φ = 357758208000.

The previous prime is 1354755428977. The next prime is 1354755429043. The reversal of 1354755429000 is 9245574531.

1354755429000 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 7 + 554 + 2 + 90 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2380940716 + ... + 2380941284.

It is an arithmetic number, because the mean of its divisors is an integer number (9262407375).

Almost surely, 2^{1354755429000} is an apocalyptic number.

1354755429000 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 1354755429000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2371176288000).

1354755429000 is an abundant number, since it is smaller than the sum of its proper divisors (3387597147000).

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

1354755429000 is a wasteful number, since it uses less digits than its factorization.

1354755429000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 1354755429000 in words is "one trillion, three hundred fifty-four billion, seven hundred fifty-five million, four hundred twenty-nine thousand".