1000100774440 has 64 divisors (see below), whose sum is σ = 2382720656400. Its totient is φ = 376488357888.

The previous prime is 1000100774437. The next prime is 1000100774447. The reversal of 1000100774440 is 444770010001.

It can be written as a sum of positive squares in 8 ways, for example, as 812381347684 + 187719426756 = 901322^2 + 433266^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1000100774399 and 1000100774408.

It is not an unprimeable number, because it can be changed into a prime (1000100774447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20640322 + ... + 20688718.

Almost surely, 2^{1000100774440} is an apocalyptic number.

1000100774440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000100774440 is an abundant number, since it is smaller than the sum of its proper divisors (1382619881960).

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

1000100774440 is a wasteful number, since it uses less digits than its factorization.

1000100774440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78814 (or 78810 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

Adding to 1000100774440 its reverse (444770010001), we get a palindrome (1444870784441).

The spelling of 1000100774440 in words is "one trillion, one hundred million, seven hundred seventy-four thousand, four hundred forty".