1011401911680 has 512 divisors, whose sum is σ = 3406111948800. Its totient is φ = 254774108160.

The previous prime is 1011401911643. The next prime is 1011401911691. The reversal of 1011401911680 is 861191041101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2076800397 + ... + 2076800883.

It is an arithmetic number, because the mean of its divisors is an integer number (6652562400).

Almost surely, 2^{1011401911680} is an apocalyptic number.

1011401911680 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 1011401911680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703055974400).

1011401911680 is an abundant number, since it is smaller than the sum of its proper divisors (2394710037120).

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

1011401911680 is a wasteful number, since it uses less digits than its factorization.

1011401911680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 33.

Adding to 1011401911680 its reverse (861191041101), we get a palindrome (1872592952781).

The spelling of 1011401911680 in words is "one trillion, eleven billion, four hundred one million, nine hundred eleven thousand, six hundred eighty".