4097701440 has 336 divisors, whose sum is σ = 16817644800. Its totient is φ = 936520704.

The previous prime is 4097701411. The next prime is 4097701541. The reversal of 4097701440 is 441077904.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4097701395 and 4097701404.

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 47 ways as a sum of consecutive naturals, for example, 418521 + ... + 428199.

Almost surely, 2^4097701440 is an apocalyptic number.

4097701440 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 4097701440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8408822400).

4097701440 is an abundant number, since it is smaller than the sum of its proper divisors (12719943360).

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

4097701440 is a wasteful number, since it uses less digits than its factorization.

4097701440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9719 (or 9696 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 4097701440 is about 64013.2911198917. The cubic root of 4097701440 is about 1600.2215109983.

The spelling of 4097701440 in words is "four billion, ninety-seven million, seven hundred one thousand, four hundred forty".