1230661333440 has 1344 divisors, whose sum is σ = 5467396866048. Its totient is φ = 246642278400.

The previous prime is 1230661333399. The next prime is 1230661333453. The reversal of 1230661333440 is 443331660321.

1230661333440 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 6 + 613 + 3 + 34 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a junction number, because it is equal to n+sod(n) for n = 1230661333395 and 1230661333404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1042049650 + ... + 1042050830.

Almost surely, 2^{1230661333440} is an apocalyptic number.

1230661333440 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 1230661333440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2733698433024).

1230661333440 is an abundant number, since it is smaller than the sum of its proper divisors (4236735532608).

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

1230661333440 is a wasteful number, since it uses less digits than its factorization.

1230661333440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Adding to 1230661333440 its reverse (443331660321), we get a palindrome (1673992993761).

The spelling of 1230661333440 in words is "one trillion, two hundred thirty billion, six hundred sixty-one million, three hundred thirty-three thousand, four hundred forty".