1001940940900 has 81 divisors (see below), whose sum is σ = 2189545388121. Its totient is φ = 397969656480.

The previous prime is 1001940940877. The next prime is 1001940940907. The reversal of 1001940940900 is 90490491001.

The square root of 1001940940900 is 1000970.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 360698738724 + 641242202176 = 600582^2 + 800776^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1001940940900.

It is not an unprimeable number, because it can be changed into a prime (1001940940907) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1991930049 + ... + 1991930551.

Almost surely, 2^{1001940940900} is an apocalyptic number.

1001940940900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1001940940900 is the 1000970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001940940900

1001940940900 is an abundant number, since it is smaller than the sum of its proper divisors (1187604447221).

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

1001940940900 is an frugal number, since it uses more digits than its factorization.

1001940940900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 37.

The spelling of 1001940940900 in words is "one trillion, one billion, nine hundred forty million, nine hundred forty thousand, nine hundred".