1261410224140 has 288 divisors, whose sum is σ = 3184543615680. Its totient is φ = 415807488000.

The previous prime is 1261410224111. The next prime is 1261410224159. The reversal of 1261410224140 is 414220141621.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1261410224099 and 1261410224108.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 237595806 + ... + 237601114.

It is an arithmetic number, because the mean of its divisors is an integer number (11057443110).

Almost surely, 2^{1261410224140} is an apocalyptic number.

1261410224140 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 1261410224140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592271807840).

1261410224140 is an abundant number, since it is smaller than the sum of its proper divisors (1923133391540).

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

1261410224140 is a wasteful number, since it uses less digits than its factorization.

1261410224140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5501 (or 5482 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 1261410224140 its reverse (414220141621), we get a palindrome (1675630365761).

The spelling of 1261410224140 in words is "one trillion, two hundred sixty-one billion, four hundred ten million, two hundred twenty-four thousand, one hundred forty".