121760410464 has 1296 divisors, whose sum is σ = 486772977600. Its totient is φ = 29745999360.

The previous prime is 121760410463. The next prime is 121760410481. The reversal of 121760410464 is 464014067121.

It is a happy number.

121760410464 is a `hidden beast` number, since 1 + 2 + 1 + 7 + 604 + 1 + 0 + 46 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121760410463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 875974107 + ... + 875974245.

Almost surely, 2^121760410464 is an apocalyptic number.

121760410464 is a gapful number since it is divisible by the number (14) 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 121760410464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243386488800).

121760410464 is an abundant number, since it is smaller than the sum of its proper divisors (365012567136).

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

121760410464 is a wasteful number, since it uses less digits than its factorization.

121760410464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 121760410464 its reverse (464014067121), we get a palindrome (585774477585).

The spelling of 121760410464 in words is "one hundred twenty-one billion, seven hundred sixty million, four hundred ten thousand, four hundred sixty-four".