4097868395040 has 480 divisors, whose sum is σ = 16674377005440. Its totient is φ = 928364322816.

The previous prime is 4097868395011. The next prime is 4097868395053. The reversal of 4097868395040 is 405938687904.

4097868395040 is a `hidden beast` number, since 4 + 0 + 97 + 8 + 6 + 8 + 39 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10051491 + ... + 10451229.

It is an arithmetic number, because the mean of its divisors is an integer number (34738285428).

Almost surely, 2^{4097868395040} is an apocalyptic number.

4097868395040 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 4097868395040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8337188502720).

4097868395040 is an abundant number, since it is smaller than the sum of its proper divisors (12576508610400).

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

4097868395040 is a wasteful number, since it uses less digits than its factorization.

4097868395040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399886 (or 399869 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 4097868395040 in words is "four trillion, ninety-seven billion, eight hundred sixty-eight million, three hundred ninety-five thousand, forty".