1140010401024 has 216 divisors, whose sum is σ = 3653402774112. Its totient is φ = 338939228160.

The previous prime is 1140010400959. The next prime is 1140010401041. The reversal of 1140010401024 is 4201040100411.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1140010400988 and 1140010401006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 918879 + ... + 1767585.

It is an arithmetic number, because the mean of its divisors is an integer number (16913901732).

Almost surely, 2^{1140010401024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1140010401024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1826701387056).

1140010401024 is an abundant number, since it is smaller than the sum of its proper divisors (2513392373088).

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

1140010401024 is a wasteful number, since it uses less digits than its factorization.

1140010401024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848793 (or 848776 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1140010401024 its reverse (4201040100411), we get a palindrome (5341050501435).

The spelling of 1140010401024 in words is "one trillion, one hundred forty billion, ten million, four hundred one thousand, twenty-four".