1011401911760 has 80 divisors (see below), whose sum is σ = 2357708472000. Its totient is φ = 403495664640.

The previous prime is 1011401911759. The next prime is 1011401911769. The reversal of 1011401911760 is 671191041101.

It is a happy number.

1011401911760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1011401911760² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011401911769) 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, 49938116 + ... + 49958364.

It is an arithmetic number, because the mean of its divisors is an integer number (29471355900).

Almost surely, 2^{1011401911760} is an apocalyptic number.

1011401911760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011401911760 is an abundant number, since it is smaller than the sum of its proper divisors (1346306560240).

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

1011401911760 is a wasteful number, since it uses less digits than its factorization.

1011401911760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21876 (or 21870 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 32.

Adding to 1011401911760 its reverse (671191041101), we get a palindrome (1682592952861).

The spelling of 1011401911760 in words is "one trillion, eleven billion, four hundred one million, nine hundred eleven thousand, seven hundred sixty".