1468408184640 has 224 divisors, whose sum is σ = 5181039168000. Its totient is φ = 391513430016.

The previous prime is 1468408184533. The next prime is 1468408184699. The reversal of 1468408184640 is 464818048641.

1468408184640 is a `hidden beast` number, since 1 + 4 + 68 + 40 + 81 + 8 + 464 + 0 = 666.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 86987721 + ... + 87004599.

Almost surely, 2^{1468408184640} is an apocalyptic number.

1468408184640 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 1468408184640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2590519584000).

1468408184640 is an abundant number, since it is smaller than the sum of its proper divisors (3712630983360).

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

1468408184640 is a wasteful number, since it uses less digits than its factorization.

1468408184640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26974 (or 26958 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 1468408184640 in words is "one trillion, four hundred sixty-eight billion, four hundred eight million, one hundred eighty-four thousand, six hundred forty".