2001119572440 has 512 divisors, whose sum is σ = 7126479360000. Its totient is φ = 498039736320.

The previous prime is 2001119572411. The next prime is 2001119572457. The reversal of 2001119572440 is 442759111002.

2001119572440 is a `hidden beast` number, since 20 + 0 + 1 + 1 + 195 + 7 + 2 + 440 = 666.

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 = 2001119572395 and 2001119572404.

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, 404836609 + ... + 404841551.

It is an arithmetic number, because the mean of its divisors is an integer number (13918905000).

Almost surely, 2^{2001119572440} is an apocalyptic number.

2001119572440 is a gapful number since it is divisible by the number (20) 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 2001119572440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3563239680000).

2001119572440 is an abundant number, since it is smaller than the sum of its proper divisors (5125359787560).

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

2001119572440 is a wasteful number, since it uses less digits than its factorization.

2001119572440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5272 (or 5262 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 2001119572440 in words is "two trillion, one billion, one hundred nineteen million, five hundred seventy-two thousand, four hundred forty".