4991078400 has 624 divisors, whose sum is σ = 20671200768. Its totient is φ = 1032192000.

The previous prime is 4991078371. The next prime is 4991078431. The reversal of 4991078400 is 48701994.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23654295 + ... + 23654505.

Almost surely, 2^4991078400 is an apocalyptic number.

4991078400 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 4991078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10335600384).

4991078400 is an abundant number, since it is smaller than the sum of its proper divisors (15680122368).

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

4991078400 is a wasteful number, since it uses less digits than its factorization.

4991078400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 4991078400 is about 70647.5647138668. The cubic root of 4991078400 is about 1708.9582930695.

The spelling of 4991078400 in words is "four billion, nine hundred ninety-one million, seventy-eight thousand, four hundred".