4097503144980 has 432 divisors, whose sum is σ = 14795922400896. Its totient is φ = 933673340160.

The previous prime is 4097503144961. The next prime is 4097503145003. The reversal of 4097503144980 is 894413057904.

4097503144980 is a `hidden beast` number, since 4 + 0 + 9 + 7 + 503 + 1 + 44 + 98 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 143 ways as a sum of consecutive naturals, for example, 304030002 + ... + 304043478.

Almost surely, 2^{4097503144980} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4097503144980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7397961200448).

4097503144980 is an abundant number, since it is smaller than the sum of its proper divisors (10698419255916).

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

4097503144980 is a wasteful number, since it uses less digits than its factorization.

4097503144980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13848 (or 13825 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 4097503144980 in words is "four trillion, ninety-seven billion, five hundred three million, one hundred forty-four thousand, nine hundred eighty".