1409652068160 has 896 divisors, whose sum is σ = 5449606299648. Its totient is φ = 301916160000.

The previous prime is 1409652068141. The next prime is 1409652068197. The reversal of 1409652068160 is 618602569041.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 127 ways as a sum of consecutive naturals, for example, 1289708574 + ... + 1289709666.

It is an arithmetic number, because the mean of its divisors is an integer number (6082149888).

Almost surely, 2^{1409652068160} is an apocalyptic number.

1409652068160 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 1409652068160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2724803149824).

1409652068160 is an abundant number, since it is smaller than the sum of its proper divisors (4039954231488).

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

1409652068160 is a wasteful number, since it uses less digits than its factorization.

1409652068160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 1409652068160 in words is "one trillion, four hundred nine billion, six hundred fifty-two million, sixty-eight thousand, one hundred sixty".