10471813847040 has 768 divisors, whose sum is σ = 41360991759360. Its totient is φ = 2202567966720.

The previous prime is 10471813847029. The next prime is 10471813847041. The reversal of 10471813847040 is 4074831817401.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10471813847041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 925311462 + ... + 925322778.

It is an arithmetic number, because the mean of its divisors is an integer number (53855458020).

Almost surely, 2^{10471813847040} is an apocalyptic number.

10471813847040 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 10471813847040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20680495879680).

10471813847040 is an abundant number, since it is smaller than the sum of its proper divisors (30889177912320).

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

10471813847040 is a wasteful number, since it uses less digits than its factorization.

10471813847040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11698 (or 11678 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 48.

The spelling of 10471813847040 in words is "ten trillion, four hundred seventy-one billion, eight hundred thirteen million, eight hundred forty-seven thousand, forty".