40828348800 has 288 divisors, whose sum is σ = 152021497680. Its totient is φ = 10414018560.

The previous prime is 40828348793. The next prime is 40828348849. The reversal of 40828348800 is 884382804.

It is a happy number.

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

It is a super-2 number, since 2×40828348800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 631582 + ... + 693218.

Almost surely, 2^40828348800 is an apocalyptic number.

40828348800 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 40828348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76010748840).

40828348800 is an abundant number, since it is smaller than the sum of its proper divisors (111193148880).

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

40828348800 is a wasteful number, since it uses less digits than its factorization.

40828348800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61690 (or 61670 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 40828348800 in words is "forty billion, eight hundred twenty-eight million, three hundred forty-eight thousand, eight hundred".