61115213101440 has 128 divisors (see below), whose sum is σ = 194813967801600. Its totient is φ = 16296618309632.

The previous prime is 61115213101373. The next prime is 61115213101469. The reversal of 61115213101440 is 4410131251116.

61115213101440 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 (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 61115213101398 and 61115213101407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40381429 + ... + 41867531.

It is an arithmetic number, because the mean of its divisors is an integer number (1521984123450).

Almost surely, 2^{61115213101440} is an apocalyptic number.

61115213101440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61115213101440 is an abundant number, since it is smaller than the sum of its proper divisors (133698754700160).

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

61115213101440 is a wasteful number, since it uses less digits than its factorization.

61115213101440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507544 (or 1507532 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

Adding to 61115213101440 its reverse (4410131251116), we get a palindrome (65525344352556).

The spelling of 61115213101440 in words is "sixty-one trillion, one hundred fifteen billion, two hundred thirteen million, one hundred one thousand, four hundred forty".