463096381440 has 1728 divisors, whose sum is σ = 2065602954240. Its totient is φ = 87199580160.

The previous prime is 463096381399. The next prime is 463096381471. The reversal of 463096381440 is 44183690364.

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

It is a self number, because there is not a number n which added to its sum of digits gives 463096381440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20134625269 + ... + 20134625291.

It is an arithmetic number, because the mean of its divisors is an integer number (1195372080).

Almost surely, 2^463096381440 is an apocalyptic number.

463096381440 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 463096381440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032801477120).

463096381440 is an abundant number, since it is smaller than the sum of its proper divisors (1602506572800).

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

463096381440 is a wasteful number, since it uses less digits than its factorization.

463096381440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 463096381440 in words is "four hundred sixty-three billion, ninety-six million, three hundred eighty-one thousand, four hundred forty".