1015541211040 has 48 divisors (see below), whose sum is σ = 2403130235688. Its totient is φ = 405553775616.

The previous prime is 1015541210977. The next prime is 1015541211043. The reversal of 1015541211040 is 401121455101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 332518302736 + 683022908304 = 576644^2 + 826452^2 .

It is a super-3 number, since 3×1015541211040³ (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1015541210996 and 1015541211014.

It is not an unprimeable number, because it can be changed into a prime (1015541211043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5079027 + ... + 5275186.

Almost surely, 2^{1015541211040} is an apocalyptic number.

1015541211040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1015541211040 is an abundant number, since it is smaller than the sum of its proper divisors (1387589024648).

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

1015541211040 is a wasteful number, since it uses less digits than its factorization.

1015541211040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10354841 (or 10354833 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 25.

Adding to 1015541211040 its reverse (401121455101), we get a palindrome (1416662666141).

The spelling of 1015541211040 in words is "one trillion, fifteen billion, five hundred forty-one million, two hundred eleven thousand, forty".