10464634140480 has 2240 divisors, whose sum is σ = 44053377984000. Its totient is φ = 2334657282048.

The previous prime is 10464634140479. The next prime is 10464634140503. The reversal of 10464634140480 is 8404143646401.

10464634140480 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 4 + 634 + 1 + 4 + 0 + 4 + 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 an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 29149398541 + ... + 29149398899.

It is an arithmetic number, because the mean of its divisors is an integer number (19666686600).

Almost surely, 2^{10464634140480} is an apocalyptic number.

10464634140480 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 10464634140480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22026688992000).

10464634140480 is an abundant number, since it is smaller than the sum of its proper divisors (33588743843520).

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

10464634140480 is a wasteful number, since it uses less digits than its factorization.

10464634140480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

Adding to 10464634140480 its reverse (8404143646401), we get a palindrome (18868777786881).

The spelling of 10464634140480 in words is "ten trillion, four hundred sixty-four billion, six hundred thirty-four million, one hundred forty thousand, four hundred eighty".