40047245200 has 240 divisors, whose sum is σ = 100688890320. Its totient is φ = 15297085440.

The previous prime is 40047245177. The next prime is 40047245213. The reversal of 40047245200 is 254274004.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 22402904976 + 17644340224 = 149676^2 + 132832^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 174878686 + ... + 174878914.

It is an arithmetic number, because the mean of its divisors is an integer number (419537043).

Almost surely, 2^40047245200 is an apocalyptic number.

40047245200 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 40047245200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50344445160).

40047245200 is an abundant number, since it is smaller than the sum of its proper divisors (60641645120).

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

40047245200 is a wasteful number, since it uses less digits than its factorization.

40047245200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 28.

The spelling of 40047245200 in words is "forty billion, forty-seven million, two hundred forty-five thousand, two hundred".