40828233600 has 2304 divisors, whose sum is σ = 208175961600. Its totient is φ = 7564492800.

The previous prime is 40828233571. The next prime is 40828233613. The reversal of 40828233600 is 633282804.

40828233600 is a `hidden beast` number, since 4 + 0 + 8 + 28 + 23 + 3 + 600 = 666.

It is a super-3 number, since 3×40828233600³ (a number of 33 digits) contains 333 as substring.

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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2148854391 + ... + 2148854409.

It is an arithmetic number, because the mean of its divisors is an integer number (90354150).

Almost surely, 2^40828233600 is an apocalyptic number.

40828233600 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 40828233600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104087980800).

40828233600 is an abundant number, since it is smaller than the sum of its proper divisors (167347728000).

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

40828233600 is a wasteful number, since it uses less digits than its factorization.

40828233600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 40828233600 in words is "forty billion, eight hundred twenty-eight million, two hundred thirty-three thousand, six hundred".