463840881408000 has 1536 divisors, whose sum is σ = 1779505168896000. Its totient is φ = 119047864320000.

The previous prime is 463840881407957. The next prime is 463840881408089. The reversal of 463840881408000 is 804188048364.

463840881408000 is a `hidden beast` number, since 46 + 3 + 8 + 408 + 81 + 40 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 66348284505 + ... + 66348291495.

It is an arithmetic number, because the mean of its divisors is an integer number (1158532011000).

Almost surely, 2^{463840881408000} is an apocalyptic number.

463840881408000 is a gapful number since it is divisible by the number (40) 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 463840881408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889752584448000).

463840881408000 is an abundant number, since it is smaller than the sum of its proper divisors (1315664287488000).

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

463840881408000 is a wasteful number, since it uses less digits than its factorization.

463840881408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7397 (or 7361 counting only the distinct ones).

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

The spelling of 463840881408000 in words is "four hundred sixty-three trillion, eight hundred forty billion, eight hundred eighty-one million, four hundred eight thousand".