1001007470844 has 216 divisors, whose sum is σ = 2706486007680. Its totient is φ = 323483987232.

The previous prime is 1001007470843. The next prime is 1001007470863. The reversal of 1001007470844 is 4480747001001.

1001007470844 is a `hidden beast` number, since 1 + 0 + 0 + 100 + 7 + 470 + 84 + 4 = 666.

1001007470844 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 1001007470799 and 1001007470808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001007470843) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 249812689 + ... + 249816695.

Almost surely, 2^{1001007470844} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001007470844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353243003840).

1001007470844 is an abundant number, since it is smaller than the sum of its proper divisors (1705478536836).

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

1001007470844 is a wasteful number, since it uses less digits than its factorization.

1001007470844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4251 (or 4194 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The spelling of 1001007470844 in words is "one trillion, one billion, seven million, four hundred seventy thousand, eight hundred forty-four".