3997430468640 has 480 divisors, whose sum is σ = 16142768256384. Its totient is φ = 912576430080.

The previous prime is 3997430468639. The next prime is 3997430468651. The reversal of 3997430468640 is 468640347993.

3997430468640 is a `hidden beast` number, since 3 + 9 + 97 + 43 + 0 + 468 + 6 + 40 = 666.

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

It is a super-2 number, since 2×3997430468640² (a number of 26 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 74998800 + ... + 75052080.

Almost surely, 2^{3997430468640} is an apocalyptic number.

3997430468640 is a gapful number since it is divisible by the number (30) 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 3997430468640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8071384128192).

3997430468640 is an abundant number, since it is smaller than the sum of its proper divisors (12145337787744).

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

3997430468640 is a wasteful number, since it uses less digits than its factorization.

3997430468640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54142 (or 54125 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 63.

The spelling of 3997430468640 in words is "three trillion, nine hundred ninety-seven billion, four hundred thirty million, four hundred sixty-eight thousand, six hundred forty".