1354140008928 has 480 divisors, whose sum is σ = 4624029837504. Its totient is φ = 380748791808.

The previous prime is 1354140008899. The next prime is 1354140008941. The reversal of 1354140008928 is 8298000414531.

1354140008928 is a `hidden beast` number, since 1 + 3 + 541 + 4 + 0 + 0 + 0 + 89 + 28 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 817223076 + ... + 817224732.

Almost surely, 2^{1354140008928} is an apocalyptic number.

1354140008928 is a gapful number since it is divisible by the number (18) 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 1354140008928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2312014918752).

1354140008928 is an abundant number, since it is smaller than the sum of its proper divisors (3269889828576).

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

1354140008928 is a wasteful number, since it uses less digits than its factorization.

1354140008928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2376 (or 2359 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 1354140008928 in words is "one trillion, three hundred fifty-four billion, one hundred forty million, eight thousand, nine hundred twenty-eight".