4960671206400 has 3696 divisors, whose sum is σ = 23863763288064. Its totient is φ = 993257717760.

The previous prime is 4960671206371. The next prime is 4960671206431. The reversal of 4960671206400 is 46021760694.

4960671206400 is a `hidden beast` number, since 4 + 9 + 60 + 67 + 120 + 6 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 335 ways as a sum of consecutive naturals, for example, 39060403137 + ... + 39060403263.

Almost surely, 2^{4960671206400} is an apocalyptic number.

4960671206400 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 4960671206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11931881644032).

4960671206400 is an abundant number, since it is smaller than the sum of its proper divisors (18903092081664).

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

4960671206400 is a wasteful number, since it uses less digits than its factorization.

4960671206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 4960671206400 in words is "four trillion, nine hundred sixty billion, six hundred seventy-one million, two hundred six thousand, four hundred".