2440763947440 has 960 divisors, whose sum is σ = 10483984982016. Its totient is φ = 513899790336.

The previous prime is 2440763947423. The next prime is 2440763947451. The reversal of 2440763947440 is 447493670442.

2440763947440 is a `hidden beast` number, since 2 + 4 + 40 + 76 + 3 + 94 + 7 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1073806144 + ... + 1073808416.

Almost surely, 2^{2440763947440} is an apocalyptic number.

2440763947440 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 2440763947440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5241992491008).

2440763947440 is an abundant number, since it is smaller than the sum of its proper divisors (8043221034576).

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

2440763947440 is a wasteful number, since it uses less digits than its factorization.

2440763947440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2928 (or 2910 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 54.

The spelling of 2440763947440 in words is "two trillion, four hundred forty billion, seven hundred sixty-three million, nine hundred forty-seven thousand, four hundred forty".