40849920000 has 650 divisors, whose sum is σ = 153263422818. Its totient is φ = 10838016000.

The previous prime is 40849919993. The next prime is 40849920011. The reversal of 40849920000 is 2994804.

It is a happy number.

40849920000 is a `hidden beast` number, since 408 + 49 + 9 + 200 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 4938153984 + 35911766016 = 70272^2 + 189504^2 .

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 49 ways as a sum of consecutive naturals, for example, 207359902 + ... + 207360098.

Almost surely, 2^40849920000 is an apocalyptic number.

40849920000 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 40849920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76631711409).

40849920000 is an abundant number, since it is smaller than the sum of its proper divisors (112413502818).

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

40849920000 is an frugal number, since it uses more digits than its factorization.

40849920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 40849920000 in words is "forty billion, eight hundred forty-nine million, nine hundred twenty thousand".