40191075883008 has 288 divisors, whose sum is σ = 120685340346480. Its totient is φ = 12875173724160.

The previous prime is 40191075882953. The next prime is 40191075883027. The reversal of 40191075883008 is 80038857019104.

40191075883008 is a `hidden beast` number, since 4 + 0 + 19 + 10 + 7 + 588 + 30 + 0 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50235816 + ... + 51029592.

Almost surely, 2^{40191075883008} is an apocalyptic number.

40191075883008 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 40191075883008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60342670173240).

40191075883008 is an abundant number, since it is smaller than the sum of its proper divisors (80494264463472).

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

40191075883008 is a wasteful number, since it uses less digits than its factorization.

40191075883008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793913 (or 793890 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 40191075883008 in words is "forty trillion, one hundred ninety-one billion, seventy-five million, eight hundred eighty-three thousand, eight".