10240476494976 has 576 divisors, whose sum is σ = 38859003892800. Its totient is φ = 2558634946560.

The previous prime is 10240476494959. The next prime is 10240476494993. The reversal of 10240476494976 is 67949467404201.

10240476494976 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 0 + 4 + 76 + 494 + 9 + 76 = 666.

It is an interprime number because it is at equal distance from previous prime (10240476494959) and next prime (10240476494993).

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 (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13575421 + ... + 14309891.

It is an arithmetic number, because the mean of its divisors is an integer number (67463548425).

Almost surely, 2^{10240476494976} is an apocalyptic number.

10240476494976 is a gapful number since it is divisible by the number (16) 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 10240476494976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19429501946400).

10240476494976 is an abundant number, since it is smaller than the sum of its proper divisors (28618527397824).

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

10240476494976 is a wasteful number, since it uses less digits than its factorization.

10240476494976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734537 (or 734515 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 10240476494976 in words is "ten trillion, two hundred forty billion, four hundred seventy-six million, four hundred ninety-four thousand, nine hundred seventy-six".