1001082378240 has 768 divisors, whose sum is σ = 4306267929600. Its totient is φ = 215351820288.

The previous prime is 1001082378217. The next prime is 1001082378277. The reversal of 1001082378240 is 428732801001.

It is a tau number, because it is divible by the number of its divisors (768).

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 = 1001082378195 and 1001082378204.

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, 32885907 + ... + 32916333.

It is an arithmetic number, because the mean of its divisors is an integer number (5607119700).

Almost surely, 2^{1001082378240} is an apocalyptic number.

1001082378240 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 1001082378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2153133964800).

1001082378240 is an abundant number, since it is smaller than the sum of its proper divisors (3305185551360).

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

1001082378240 is a wasteful number, since it uses less digits than its factorization.

1001082378240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30487 (or 30461 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 1001082378240 in words is "one trillion, one billion, eighty-two million, three hundred seventy-eight thousand, two hundred forty".