4967919420400 has 120 divisors (see below), whose sum is σ = 12193271080704. Its totient is φ = 1944265440000.

The previous prime is 4967919420349. The next prime is 4967919420463. The reversal of 4967919420400 is 40249197694.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61078159 + ... + 61159441.

Almost surely, 2^{4967919420400} is an apocalyptic number.

4967919420400 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 4967919420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6096635540352).

4967919420400 is an abundant number, since it is smaller than the sum of its proper divisors (7225351660304).

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

4967919420400 is a wasteful number, since it uses less digits than its factorization.

4967919420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84599 (or 84588 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 55.

The spelling of 4967919420400 in words is "four trillion, nine hundred sixty-seven billion, nine hundred nineteen million, four hundred twenty thousand, four hundred".