463621549040 has 320 divisors, whose sum is σ = 1264585728000. Its totient is φ = 156540211200.

The previous prime is 463621548989. The next prime is 463621549051. The reversal of 463621549040 is 40945126364.

It is a junction number, because it is equal to n+sod(n) for n = 463621548982 and 463621549000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 331394261 + ... + 331395659.

It is an arithmetic number, because the mean of its divisors is an integer number (3951830400).

Almost surely, 2^463621549040 is an apocalyptic number.

463621549040 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 463621549040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632292864000).

463621549040 is an abundant number, since it is smaller than the sum of its proper divisors (800964178960).

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

463621549040 is a wasteful number, since it uses less digits than its factorization.

463621549040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016 (or 2010 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 44.

The spelling of 463621549040 in words is "four hundred sixty-three billion, six hundred twenty-one million, five hundred forty-nine thousand, forty".