3997459572480 has 288 divisors, whose sum is σ = 15475015422720. Its totient is φ = 969081016320.

The previous prime is 3997459572451. The next prime is 3997459572481. The reversal of 3997459572480 is 842759547993.

3997459572480 is a `hidden beast` number, since 3 + 9 + 9 + 7 + 4 + 5 + 9 + 572 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3997459572480² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3997459572399 and 3997459572408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3997459572481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4877442 + ... + 5637761.

It is an arithmetic number, because the mean of its divisors is an integer number (53732692440).

Almost surely, 2^{3997459572480} is an apocalyptic number.

3997459572480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3997459572480 is an abundant number, since it is smaller than the sum of its proper divisors (11477555850240).

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

3997459572480 is a wasteful number, since it uses less digits than its factorization.

3997459572480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10515244 (or 10515224 counting only the distinct ones).

The product of its (nonzero) digits is 685843200, while the sum is 72.

The spelling of 3997459572480 in words is "three trillion, nine hundred ninety-seven billion, four hundred fifty-nine million, five hundred seventy-two thousand, four hundred eighty".