40985049600 has 480 divisors, whose sum is σ = 164126191680. Its totient is φ = 9934848000.

The previous prime is 40985049593. The next prime is 40985049601. The reversal of 40985049600 is 694058904.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (40985049601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3796210 + ... + 3806990.

It is an arithmetic number, because the mean of its divisors is an integer number (341929566).

Almost surely, 2^40985049600 is an apocalyptic number.

40985049600 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 40985049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82063095840).

40985049600 is an abundant number, since it is smaller than the sum of its proper divisors (123141142080).

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

40985049600 is a wasteful number, since it uses less digits than its factorization.

40985049600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10829 (or 10802 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 40985049600 in words is "forty billion, nine hundred eighty-five million, forty-nine thousand, six hundred".