40002003394560 has 1344 divisors, whose sum is σ = 148882543992000. Its totient is φ = 10309241143296.

The previous prime is 40002003394543. The next prime is 40002003394583. The reversal of 40002003394560 is 6549330020004.

40002003394560 is a `hidden beast` number, since 4 + 0 + 0 + 0 + 2 + 0 + 0 + 3 + 3 + 94 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 268469821366 + ... + 268469821514.

It is an arithmetic number, because the mean of its divisors is an integer number (110775702375).

Almost surely, 2^{40002003394560} is an apocalyptic number.

40002003394560 is a gapful number since it is divisible by the number (40) 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 40002003394560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74441271996000).

40002003394560 is an abundant number, since it is smaller than the sum of its proper divisors (108880540597440).

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

40002003394560 is an frugal number, since it uses more digits than its factorization.

40002003394560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 40002003394560 in words is "forty trillion, two billion, three million, three hundred ninety-four thousand, five hundred sixty".