4951930420800 has 1008 divisors, whose sum is σ = 19883355508800. Its totient is φ = 1197960192000.

The previous prime is 4951930420769. The next prime is 4951930420841. The reversal of 4951930420800 is 80240391594.

4951930420800 is a `hidden beast` number, since 4 + 9 + 519 + 30 + 4 + 20 + 80 + 0 = 666.

It is a super-2 number, since 2×4951930420800² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4228804215 + ... + 4228805385.

It is an arithmetic number, because the mean of its divisors is an integer number (19725551100).

Almost surely, 2^{4951930420800} is an apocalyptic number.

4951930420800 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 4951930420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9941677754400).

4951930420800 is an abundant number, since it is smaller than the sum of its proper divisors (14931425088000).

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

4951930420800 is a wasteful number, since it uses less digits than its factorization.

4951930420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2033 (or 2001 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 4951930420800 in words is "four trillion, nine hundred fifty-one billion, nine hundred thirty million, four hundred twenty thousand, eight hundred".