463752127040 has 56 divisors (see below), whose sum is σ = 1104407793720. Its totient is φ = 185484382208.

The previous prime is 463752126983. The next prime is 463752127109. The reversal of 463752127040 is 40721257364.

It can be written as a sum of positive squares in 4 ways, for example, as 23142928384 + 440609198656 = 152128^2 + 663784^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3933266 + ... + 4049454.

It is an arithmetic number, because the mean of its divisors is an integer number (19721567745).

Almost surely, 2^463752127040 is an apocalyptic number.

463752127040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

463752127040 is an abundant number, since it is smaller than the sum of its proper divisors (640655666680).

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

463752127040 is a wasteful number, since it uses less digits than its factorization.

463752127040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128679 (or 128669 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 41.

The spelling of 463752127040 in words is "four hundred sixty-three billion, seven hundred fifty-two million, one hundred twenty-seven thousand, forty".