40919820800 has 240 divisors, whose sum is σ = 103536602400. Its totient is φ = 16024780800.

The previous prime is 40919820797. The next prime is 40919820833. The reversal of 40919820800 is 802891904.

It is a super-2 number, since 2×40919820800² (a number of 22 digits) contains 22 as substring.

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, 193932695 + ... + 193932905.

It is an arithmetic number, because the mean of its divisors is an integer number (431402510).

Almost surely, 2^40919820800 is an apocalyptic number.

40919820800 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 40919820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51768301200).

40919820800 is an abundant number, since it is smaller than the sum of its proper divisors (62616781600).

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

40919820800 is a wasteful number, since it uses less digits than its factorization.

40919820800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 41.

The spelling of 40919820800 in words is "forty billion, nine hundred nineteen million, eight hundred twenty thousand, eight hundred".