40824202500 has 225 divisors, whose sum is σ = 133658150857. Its totient is φ = 10862208000.

The previous prime is 40824202493. The next prime is 40824202501. The reversal of 40824202500 is 520242804.

It is a happy number.

The square root of 40824202500 is 202050.

It is a perfect power (a square), and thus also a powerful number.

40824202500 is a `hidden beast` number, since 40 + 82 + 42 + 0 + 2 + 500 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 27286414596 + 13537787904 = 165186^2 + 116352^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a super-2 number, since 2×40824202500² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40824202501) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 90922276 + ... + 90922724.

Almost surely, 2^40824202500 is an apocalyptic number.

40824202500 is the 202050-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40824202500

40824202500 is an abundant number, since it is smaller than the sum of its proper divisors (92833948357).

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

40824202500 is an frugal number, since it uses more digits than its factorization.

40824202500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The spelling of 40824202500 in words is "forty billion, eight hundred twenty-four million, two hundred two thousand, five hundred".