40253738400 has 288 divisors, whose sum is σ = 147344944320. Its totient is φ = 10604528640.

The previous prime is 40253738381. The next prime is 40253738401. The reversal of 40253738400 is 483735204.

It is a happy number.

40253738400 is a `hidden beast` number, since 40 + 2 + 537 + 3 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (40253738401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1781574 + ... + 1804026.

It is an arithmetic number, because the mean of its divisors is an integer number (511614390).

Almost surely, 2^40253738400 is an apocalyptic number.

40253738400 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 40253738400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73672472160).

40253738400 is an abundant number, since it is smaller than the sum of its proper divisors (107091205920).

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

40253738400 is a wasteful number, since it uses less digits than its factorization.

40253738400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22565 (or 22546 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 40253738400 in words is "forty billion, two hundred fifty-three million, seven hundred thirty-eight thousand, four hundred".