1011504141640 has 64 divisors (see below), whose sum is σ = 2357577025200. Its totient is φ = 390116600832.

The previous prime is 1011504141631. The next prime is 1011504141667. The reversal of 1011504141640 is 461414051101.

It can be written as a sum of positive squares in 8 ways, for example, as 821890922724 + 189613218916 = 906582^2 + 435446^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1011504141599 and 1011504141608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255474 + ... + 1445086.

Almost surely, 2^{1011504141640} is an apocalyptic number.

1011504141640 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 1011504141640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178788512600).

1011504141640 is an abundant number, since it is smaller than the sum of its proper divisors (1346072883560).

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

1011504141640 is a wasteful number, since it uses less digits than its factorization.

1011504141640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190386 (or 1190382 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

Adding to 1011504141640 its reverse (461414051101), we get a palindrome (1472918192741).

The spelling of 1011504141640 in words is "one trillion, eleven billion, five hundred four million, one hundred forty-one thousand, six hundred forty".