40425852600 has 720 divisors, whose sum is σ = 165024794880. Its totient is φ = 9144576000.

The previous prime is 40425852583. The next prime is 40425852613. The reversal of 40425852600 is 625852404.

It is a happy number.

40425852600 is a `hidden beast` number, since 4 + 0 + 42 + 5 + 8 + 5 + 2 + 600 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 100812400 + ... + 100812800.

It is an arithmetic number, because the mean of its divisors is an integer number (229201104).

Almost surely, 2^40425852600 is an apocalyptic number.

40425852600 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 40425852600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82512397440).

40425852600 is an abundant number, since it is smaller than the sum of its proper divisors (124598942280).

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

40425852600 is a wasteful number, since it uses less digits than its factorization.

40425852600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

It can be divided in two parts, 40425 and 852600, that added together give a square (893025 = 945²).

The spelling of 40425852600 in words is "forty billion, four hundred twenty-five million, eight hundred fifty-two thousand, six hundred".