1001995962240 has 1024 divisors, whose sum is σ = 4048713123840. Its totient is φ = 205141966848.

The previous prime is 1001995962223. The next prime is 1001995962301. The reversal of 1001995962240 is 422695991001.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1001995962240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1480052782 + ... + 1480053458.

It is an arithmetic number, because the mean of its divisors is an integer number (3953821410).

Almost surely, 2^{1001995962240} is an apocalyptic number.

1001995962240 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 1001995962240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2024356561920).

1001995962240 is an abundant number, since it is smaller than the sum of its proper divisors (3046717161600).

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

1001995962240 is a wasteful number, since it uses less digits than its factorization.

1001995962240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 48.

The spelling of 1001995962240 in words is "one trillion, one billion, nine hundred ninety-five million, nine hundred sixty-two thousand, two hundred forty".