1241410020144 has 320 divisors, whose sum is σ = 3988657852416. Its totient is φ = 324629839872.

The previous prime is 1241410020133. The next prime is 1241410020163. The reversal of 1241410020144 is 4410200141421.

It is a super-2 number, since 2×1241410020144² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42134122 + ... + 42163574.

Almost surely, 2^{1241410020144} is an apocalyptic number.

1241410020144 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 1241410020144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1994328926208).

1241410020144 is an abundant number, since it is smaller than the sum of its proper divisors (2747247832272).

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

1241410020144 is a wasteful number, since it uses less digits than its factorization.

1241410020144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29692 (or 29686 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 1241410020144 its reverse (4410200141421), we get a palindrome (5651610161565).

The spelling of 1241410020144 in words is "one trillion, two hundred forty-one billion, four hundred ten million, twenty thousand, one hundred forty-four".