121010401440 has 192 divisors, whose sum is σ = 424045843200. Its totient is φ = 32230628352.

The previous prime is 121010401429. The next prime is 121010401483. The reversal of 121010401440 is 44104010121.

121010401440 is a `hidden beast` number, since 1 + 210 + 10 + 4 + 0 + 1 + 440 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3668541 + ... + 3701379.

It is an arithmetic number, because the mean of its divisors is an integer number (2208572100).

Almost surely, 2^121010401440 is an apocalyptic number.

121010401440 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 121010401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212022921600).

121010401440 is an abundant number, since it is smaller than the sum of its proper divisors (303035441760).

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

121010401440 is a wasteful number, since it uses less digits than its factorization.

121010401440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33716 (or 33702 counting only the distinct ones).

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

Adding to 121010401440 its reverse (44104010121), we get a palindrome (165114411561).

The spelling of 121010401440 in words is "one hundred twenty-one billion, ten million, four hundred one thousand, four hundred forty".