40285132800 has 576 divisors, whose sum is σ = 147264324480. Its totient is φ = 9633792000.

The previous prime is 40285132763. The next prime is 40285132829. The reversal of 40285132800 is 823158204.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 190924695 + ... + 190924905.

It is an arithmetic number, because the mean of its divisors is an integer number (255667230).

Almost surely, 2^40285132800 is an apocalyptic number.

40285132800 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 40285132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73632162240).

40285132800 is an abundant number, since it is smaller than the sum of its proper divisors (106979191680).

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

40285132800 is a wasteful number, since it uses less digits than its factorization.

40285132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 40285132800 in words is "forty billion, two hundred eighty-five million, one hundred thirty-two thousand, eight hundred".