4967940781440 has 3840 divisors, whose sum is σ = 24053416611840. Its totient is φ = 965667225600.

The previous prime is 4967940781429. The next prime is 4967940781457. The reversal of 4967940781440 is 441870497694.

4967940781440 is a `hidden beast` number, since 4 + 9 + 6 + 79 + 40 + 7 + 81 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 23544742935 + ... + 23544743145.

It is an arithmetic number, because the mean of its divisors is an integer number (6263910576).

Almost surely, 2^{4967940781440} is an apocalyptic number.

4967940781440 is a gapful number since it is divisible by the number (40) 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 4967940781440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12026708305920).

4967940781440 is an abundant number, since it is smaller than the sum of its proper divisors (19085475830400).

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

4967940781440 is a wasteful number, since it uses less digits than its factorization.

4967940781440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 4967940781440 in words is "four trillion, nine hundred sixty-seven billion, nine hundred forty million, seven hundred eighty-one thousand, four hundred forty".