1463004218880 has 400 divisors, whose sum is σ = 5409075475584. Its totient is φ = 377547816960.

The previous prime is 1463004218801. The next prime is 1463004218881. The reversal of 1463004218880 is 888124003641.

1463004218880 is a `hidden beast` number, since 1 + 4 + 630 + 0 + 4 + 2 + 1 + 8 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1463004218881) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6314364 + ... + 6541956.

Almost surely, 2^{1463004218880} is an apocalyptic number.

1463004218880 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 1463004218880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2704537737792).

1463004218880 is an abundant number, since it is smaller than the sum of its proper divisors (3946071256704).

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

1463004218880 is an equidigital number, since it uses as much as digits as its factorization.

1463004218880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227659 (or 227634 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 1463004218880 in words is "one trillion, four hundred sixty-three billion, four million, two hundred eighteen thousand, eight hundred eighty".