40428357120 has 720 divisors, whose sum is σ = 152218226160. Its totient is φ = 10283728896.

The previous prime is 40428357077. The next prime is 40428357121. The reversal of 40428357120 is 2175382404.

It is a happy number.

40428357120 is a `hidden beast` number, since 4 + 0 + 4 + 2 + 83 + 571 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40428357121) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 487088599 + ... + 487088681.

It is an arithmetic number, because the mean of its divisors is an integer number (211414203).

Almost surely, 2^40428357120 is an apocalyptic number.

40428357120 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 40428357120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76109113080).

40428357120 is an abundant number, since it is smaller than the sum of its proper divisors (111789869040).

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

40428357120 is an frugal number, since it uses more digits than its factorization.

40428357120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 40428357120 in words is "forty billion, four hundred twenty-eight million, three hundred fifty-seven thousand, one hundred twenty".