1461111306240 has 192 divisors, whose sum is σ = 4680134877600. Its totient is φ = 389152899072.

The previous prime is 1461111306223. The next prime is 1461111306251. The reversal of 1461111306240 is 426031111641.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 1461111306198 and 1461111306207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25438194 + ... + 25495566.

Almost surely, 2^{1461111306240} is an apocalyptic number.

1461111306240 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 1461111306240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2340067438800).

1461111306240 is an abundant number, since it is smaller than the sum of its proper divisors (3219023571360).

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

1461111306240 is an equidigital number, since it uses as much as digits as its factorization.

1461111306240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58232 (or 58212 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

Adding to 1461111306240 its reverse (426031111641), we get a palindrome (1887142417881).

The spelling of 1461111306240 in words is "one trillion, four hundred sixty-one billion, one hundred eleven million, three hundred six thousand, two hundred forty".