4951521967392 has 720 divisors, whose sum is σ = 19700399670336. Its totient is φ = 1187171251200.

The previous prime is 4951521967391. The next prime is 4951521967417. The reversal of 4951521967392 is 2937691251594.

4951521967392 is a `hidden beast` number, since 4 + 9 + 5 + 1 + 52 + 196 + 7 + 392 = 666.

It is a super-4 number, since 4×4951521967392⁴ (a number of 52 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (4951521967391) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 28453767 + ... + 28627257.

Almost surely, 2^{4951521967392} is an apocalyptic number.

4951521967392 is a gapful number since it is divisible by the number (42) 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 4951521967392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9850199835168).

4951521967392 is an abundant number, since it is smaller than the sum of its proper divisors (14748877702944).

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

4951521967392 is a wasteful number, since it uses less digits than its factorization.

4951521967392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173555 (or 173527 counting only the distinct ones).

The product of its digits is 36741600, while the sum is 63.

The spelling of 4951521967392 in words is "four trillion, nine hundred fifty-one billion, five hundred twenty-one million, nine hundred sixty-seven thousand, three hundred ninety-two".