10464447840 has 432 divisors, whose sum is σ = 42158972016. Its totient is φ = 2173839360.

The previous prime is 10464447787. The next prime is 10464447853. The reversal of 10464447840 is 4874446401.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 10464447792 and 10464447801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2844082 + ... + 2847758.

It is an arithmetic number, because the mean of its divisors is an integer number (97590213).

Almost surely, 2^10464447840 is an apocalyptic number.

10464447840 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 10464447840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21079486008).

10464447840 is an abundant number, since it is smaller than the sum of its proper divisors (31694524176).

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

10464447840 is a wasteful number, since it uses less digits than its factorization.

10464447840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3731 (or 3705 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 42.

The spelling of 10464447840 in words is "ten billion, four hundred sixty-four million, four hundred forty-seven thousand, eight hundred forty".