2412412041240 has 256 divisors, whose sum is σ = 8063237145600. Its totient is φ = 641563545600.

The previous prime is 2412412041233. The next prime is 2412412041251. The reversal of 2412412041240 is 421402142142.

2412412041240 is a `hidden beast` number, since 2 + 4 + 1 + 2 + 412 + 0 + 4 + 1 + 240 = 666.

2412412041240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 793294120 + ... + 793297160.

It is an arithmetic number, because the mean of its divisors is an integer number (31497020100).

Almost surely, 2^{2412412041240} is an apocalyptic number.

2412412041240 is a gapful number since it is divisible by the number (20) 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 2412412041240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4031618572800).

2412412041240 is an abundant number, since it is smaller than the sum of its proper divisors (5650825104360).

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

2412412041240 is a wasteful number, since it uses less digits than its factorization.

2412412041240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4815 (or 4805 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 2412412041240 its reverse (421402142142), we get a palindrome (2833814183382).

The spelling of 2412412041240 in words is "two trillion, four hundred twelve billion, four hundred twelve million, forty-one thousand, two hundred forty".