1007444572464 has 160 divisors (see below), whose sum is σ = 2948243443200. Its totient is φ = 293637191680.

The previous prime is 1007444572447. The next prime is 1007444572471. The reversal of 1007444572464 is 4642754447001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3901972 + ... + 4152140.

It is an arithmetic number, because the mean of its divisors is an integer number (18426521520).

Almost surely, 2^{1007444572464} 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 1007444572464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474121721600).

1007444572464 is an abundant number, since it is smaller than the sum of its proper divisors (1940798870736).

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

1007444572464 is a wasteful number, since it uses less digits than its factorization.

1007444572464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250483 (or 250477 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 48.

The spelling of 1007444572464 in words is "one trillion, seven billion, four hundred forty-four million, five hundred seventy-two thousand, four hundred sixty-four".