4008999754368 has 896 divisors, whose sum is σ = 14544909504000. Its totient is φ = 1074645190656.

The previous prime is 4008999754339. The next prime is 4008999754369. The reversal of 4008999754368 is 8634579998004.

4008999754368 is a `hidden beast` number, since 40 + 0 + 8 + 99 + 97 + 54 + 368 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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 = 4008999754296 and 4008999754305.

It is not an unprimeable number, because it can be changed into a prime (4008999754369) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 1327921563 + ... + 1327924581.

Almost surely, 2^{4008999754368} is an apocalyptic number.

4008999754368 is a gapful number since it is divisible by the number (48) 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 4008999754368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7272454752000).

4008999754368 is an abundant number, since it is smaller than the sum of its proper divisors (10535909749632).

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

4008999754368 is a wasteful number, since it uses less digits than its factorization.

4008999754368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3184 (or 3157 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 4008999754368 in words is "four trillion, eight billion, nine hundred ninety-nine million, seven hundred fifty-four thousand, three hundred sixty-eight".