10047712721440 has 96 divisors (see below), whose sum is σ = 23890887377280. Its totient is φ = 3993232932864.

The previous prime is 10047712721429. The next prime is 10047712721477. The reversal of 10047712721440 is 4412721774001.

It is a super-2 number, since 2×10047712721440² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 10047712721393 and 10047712721402.

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 15 ways as a sum of consecutive naturals, for example, 15633312 + ... + 16263328.

It is an arithmetic number, because the mean of its divisors is an integer number (248863410180).

Almost surely, 2^{10047712721440} is an apocalyptic number.

10047712721440 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 10047712721440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11945443688640).

10047712721440 is an abundant number, since it is smaller than the sum of its proper divisors (13843174655840).

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

10047712721440 is a wasteful number, since it uses less digits than its factorization.

10047712721440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630674 (or 630666 counting only the distinct ones).

The product of its (nonzero) digits is 87808, while the sum is 40.

The spelling of 10047712721440 in words is "ten trillion, forty-seven billion, seven hundred twelve million, seven hundred twenty-one thousand, four hundred forty".