10463135754240 has 576 divisors, whose sum is σ = 39083007600000. Its totient is φ = 2573551927296.

The previous prime is 10463135754217. The next prime is 10463135754307. The reversal of 10463135754240 is 4245753136401.

10463135754240 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 3 + 1 + 357 + 54 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2093043261 + ... + 2093048259.

It is an arithmetic number, because the mean of its divisors is an integer number (67852443750).

Almost surely, 2^{10463135754240} is an apocalyptic number.

10463135754240 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 10463135754240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19541503800000).

10463135754240 is an abundant number, since it is smaller than the sum of its proper divisors (28619871845760).

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

10463135754240 is a wasteful number, since it uses less digits than its factorization.

10463135754240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6792 (or 6769 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 10463135754240 in words is "ten trillion, four hundred sixty-three billion, one hundred thirty-five million, seven hundred fifty-four thousand, two hundred forty".