4951340976960 has 504 divisors, whose sum is σ = 20061865774080. Its totient is φ = 1117406803968.

The previous prime is 4951340976929. The next prime is 4951340976977. The reversal of 4951340976960 is 696790431594.

4951340976960 is a `hidden beast` number, since 4 + 9 + 513 + 40 + 9 + 76 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10926417 + ... + 11370543.

Almost surely, 2^{4951340976960} is an apocalyptic number.

4951340976960 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 4951340976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10030932887040).

4951340976960 is an abundant number, since it is smaller than the sum of its proper divisors (15110524797120).

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

4951340976960 is a wasteful number, since it uses less digits than its factorization.

4951340976960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444243 (or 444223 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 4951340976960 in words is "four trillion, nine hundred fifty-one billion, three hundred forty million, nine hundred seventy-six thousand, nine hundred sixty".