4097719080000 has 2520 divisors, whose sum is σ = 18669557979072. Its totient is φ = 851364864000.

The previous prime is 4097719079989. The next prime is 4097719080011. The reversal of 4097719080000 is 809177904.

It is an interprime number because it is at equal distance from previous prime (4097719079989) and next prime (4097719080011).

It is a tau number, because it is divible by the number of its divisors (2520).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 359 ways as a sum of consecutive naturals, for example, 24537239917 + ... + 24537240083.

Almost surely, 2^{4097719080000} is an apocalyptic number.

4097719080000 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 4097719080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9334778989536).

4097719080000 is an abundant number, since it is smaller than the sum of its proper divisors (14571838899072).

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

4097719080000 is a wasteful number, since it uses less digits than its factorization.

4097719080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 4097719080000 in words is "four trillion, ninety-seven billion, seven hundred nineteen million, eighty thousand".