1358141552460 has 1440 divisors, whose sum is σ = 5776423994880. Its totient is φ = 263363788800.

The previous prime is 1358141552447. The next prime is 1358141552489. The reversal of 1358141552460 is 642551418531.

1358141552460 is a `hidden beast` number, since 1 + 3 + 5 + 81 + 41 + 5 + 524 + 6 + 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1177919244 + ... + 1177920396.

It is an arithmetic number, because the mean of its divisors is an integer number (4011405552).

Almost surely, 2^{1358141552460} is an apocalyptic number.

1358141552460 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 1358141552460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2888211997440).

1358141552460 is an abundant number, since it is smaller than the sum of its proper divisors (4418282442420).

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

1358141552460 is a wasteful number, since it uses less digits than its factorization.

1358141552460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 1358141552460 in words is "one trillion, three hundred fifty-eight billion, one hundred forty-one million, five hundred fifty-two thousand, four hundred sixty".