4290100327008 has 144 divisors (see below), whose sum is σ = 12671888576256. Its totient is φ = 1427765512320.

The previous prime is 4290100326997. The next prime is 4290100327027. The reversal of 4290100327008 is 8007230010924.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 4469485 + ... + 5343827.

It is an arithmetic number, because the mean of its divisors is an integer number (87999226224).

Almost surely, 2^{4290100327008} is an apocalyptic number.

4290100327008 is a gapful number since it is divisible by the number (48) 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 4290100327008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6335944288128).

4290100327008 is an abundant number, since it is smaller than the sum of its proper divisors (8381788249248).

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

4290100327008 is an equidigital number, since it uses as much as digits as its factorization.

4290100327008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874999 (or 874979 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 4290100327008 in words is "four trillion, two hundred ninety billion, one hundred million, three hundred twenty-seven thousand, eight".