1001540331204 has 72 divisors (see below), whose sum is σ = 2720529725760. Its totient is φ = 285937210944.

The previous prime is 1001540331173. The next prime is 1001540331217. The reversal of 1001540331204 is 4021330451001.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129894 + ... + 1421250.

It is an arithmetic number, because the mean of its divisors is an integer number (37785135080).

Almost surely, 2^{1001540331204} is an apocalyptic number.

1001540331204 is a gapful number since it is divisible by the number (14) 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 1001540331204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360264862880).

1001540331204 is an abundant number, since it is smaller than the sum of its proper divisors (1718989394556).

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

1001540331204 is a wasteful number, since it uses less digits than its factorization.

1001540331204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292697 (or 1292688 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 1001540331204 its reverse (4021330451001), we get a palindrome (5022870782205).

The spelling of 1001540331204 in words is "one trillion, one billion, five hundred forty million, three hundred thirty-one thousand, two hundred four".