4219160400 has 960 divisors, whose sum is σ = 19063779840. Its totient is φ = 873400320.

The previous prime is 4219160383. The next prime is 4219160423. The reversal of 4219160400 is 40619124.

4219160400 is a `hidden beast` number, since 42 + 19 + 1 + 604 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 79606774 + ... + 79606826.

It is an arithmetic number, because the mean of its divisors is an integer number (19858104).

Almost surely, 2^4219160400 is an apocalyptic number.

4219160400 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 4219160400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9531889920).

4219160400 is an abundant number, since it is smaller than the sum of its proper divisors (14844619440).

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

4219160400 is a wasteful number, since it uses less digits than its factorization.

4219160400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 4219160400 is about 64955.0644676764. The cubic root of 4219160400 is about 1615.8784116766.

Adding to 4219160400 its reverse (40619124), we get a palindrome (4259779524).

The spelling of 4219160400 in words is "four billion, two hundred nineteen million, one hundred sixty thousand, four hundred".