4008077091648 has 672 divisors, whose sum is σ = 14354209259520. Its totient is φ = 1044168744960.

The previous prime is 4008077091637. The next prime is 4008077091659. The reversal of 4008077091648 is 8461907708004.

It is a happy number.

4008077091648 is a `hidden beast` number, since 400 + 8 + 0 + 7 + 70 + 9 + 164 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (4008077091637) and next prime (4008077091659).

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 4008077091594 and 4008077091603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 192602268 + ... + 192623076.

Almost surely, 2^{4008077091648} is an apocalyptic number.

4008077091648 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 4008077091648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7177104629760).

4008077091648 is an abundant number, since it is smaller than the sum of its proper divisors (10346132167872).

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

4008077091648 is a wasteful number, since it uses less digits than its factorization.

4008077091648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20955 (or 20942 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 4008077091648 in words is "four trillion, eight billion, seventy-seven million, ninety-one thousand, six hundred forty-eight".