4891622400 has 660 divisors, whose sum is σ = 20762115088. Its totient is φ = 1114767360.

The previous prime is 4891622389. The next prime is 4891622419. The reversal of 4891622400 is 42261984.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 14515032 + ... + 14515368.

Almost surely, 2^4891622400 is an apocalyptic number.

4891622400 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 4891622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10381057544).

4891622400 is an abundant number, since it is smaller than the sum of its proper divisors (15870492688).

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

4891622400 is a wasteful number, since it uses less digits than its factorization.

4891622400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4891622400 is about 69940.1344007859. The cubic root of 4891622400 is about 1697.5307172473.

The spelling of 4891622400 in words is "four billion, eight hundred ninety-one million, six hundred twenty-two thousand, four hundred".