1001440561632 has 384 divisors, whose sum is σ = 3217460133888. Its totient is φ = 266507366400.

The previous prime is 1001440561621. The next prime is 1001440561651. The reversal of 1001440561632 is 2361650441001.

It is a junction number, because it is equal to n+sod(n) for n = 1001440561593 and 1001440561602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 437882793 + ... + 437885079.

It is an arithmetic number, because the mean of its divisors is an integer number (8378802432).

Almost surely, 2^{1001440561632} is an apocalyptic number.

1001440561632 is a gapful number since it is divisible by the number (12) 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 1001440561632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608730066944).

1001440561632 is an abundant number, since it is smaller than the sum of its proper divisors (2216019572256).

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

1001440561632 is a wasteful number, since it uses less digits than its factorization.

1001440561632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3062 (or 3054 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 1001440561632 in words is "one trillion, one billion, four hundred forty million, five hundred sixty-one thousand, six hundred thirty-two".