40984849825920 has 3584 divisors, whose sum is σ = 199079676149760. Its totient is φ = 7788043468800.

The previous prime is 40984849825903. The next prime is 40984849825949. The reversal of 40984849825920 is 2952894848904.

40984849825920 is a `hidden beast` number, since 4 + 0 + 9 + 8 + 48 + 498 + 2 + 5 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 59312372775 + ... + 59312373465.

It is an arithmetic number, because the mean of its divisors is an integer number (55546784640).

Almost surely, 2^{40984849825920} is an apocalyptic number.

40984849825920 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 40984849825920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99539838074880).

40984849825920 is an abundant number, since it is smaller than the sum of its proper divisors (158094826323840).

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

40984849825920 is a wasteful number, since it uses less digits than its factorization.

40984849825920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 477757440, while the sum is 72.

The spelling of 40984849825920 in words is "forty trillion, nine hundred eighty-four billion, eight hundred forty-nine million, eight hundred twenty-five thousand, nine hundred twenty".