4190940000 has 600 divisors, whose sum is σ = 16669976400. Its totient is φ = 1026432000.

The previous prime is 4190939993. The next prime is 4190940043. The reversal of 4190940000 is 490914.

It is a tau number, because it is divible by the number of its divisors (600).

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 (17) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 21059901 + ... + 21060099.

It is an arithmetic number, because the mean of its divisors is an integer number (27783294).

Almost surely, 2^4190940000 is an apocalyptic number.

4190940000 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 4190940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8334988200).

4190940000 is an abundant number, since it is smaller than the sum of its proper divisors (12479036400).

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

4190940000 is a wasteful number, since it uses less digits than its factorization.

4190940000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 4190940000 is about 64737.4698300760. The cubic root of 4190940000 is about 1612.2676788068.

The spelling of 4190940000 in words is "four billion, one hundred ninety million, nine hundred forty thousand".