40321941124608 has 960 divisors, whose sum is σ = 138271417187904. Its totient is φ = 11244139315200.

The previous prime is 40321941124511. The next prime is 40321941124649. The reversal of 40321941124608 is 80642114912304.

40321941124608 is a `hidden beast` number, since 4 + 0 + 3 + 2 + 1 + 9 + 4 + 11 + 24 + 608 = 666.

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, 36756554716 + ... + 36756555812.

Almost surely, 2^{40321941124608} is an apocalyptic number.

40321941124608 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 40321941124608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69135708593952).

40321941124608 is an abundant number, since it is smaller than the sum of its proper divisors (97949476063296).

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

40321941124608 is a wasteful number, since it uses less digits than its factorization.

40321941124608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 40321941124608 in words is "forty trillion, three hundred twenty-one billion, nine hundred forty-one million, one hundred twenty-four thousand, six hundred eight".