4097756910800 has 480 divisors, whose sum is σ = 11838030127104. Its totient is φ = 1333552896000.

The previous prime is 4097756910799. The next prime is 4097756910811. The reversal of 4097756910800 is 80196577904.

It is a super-2 number, since 2×4097756910800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

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 95 ways as a sum of consecutive naturals, for example, 2345595527 + ... + 2345597273.

Almost surely, 2^{4097756910800} is an apocalyptic number.

4097756910800 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 4097756910800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5919015063552).

4097756910800 is an abundant number, since it is smaller than the sum of its proper divisors (7740273216304).

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

4097756910800 is a wasteful number, since it uses less digits than its factorization.

4097756910800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2307 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 56.

The spelling of 4097756910800 in words is "four trillion, ninety-seven billion, seven hundred fifty-six million, nine hundred ten thousand, eight hundred".