40628085120 has 384 divisors, whose sum is σ = 169770219840. Its totient is φ = 8740012032.

The previous prime is 40628085101. The next prime is 40628085139. The reversal of 40628085120 is 2158082604.

40628085120 is a `hidden beast` number, since 4 + 0 + 62 + 80 + 8 + 512 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (40628085101) and next prime (40628085139).

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 655804 + ... + 715076.

Almost surely, 2^40628085120 is an apocalyptic number.

40628085120 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 40628085120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84885109920).

40628085120 is an abundant number, since it is smaller than the sum of its proper divisors (129142134720).

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

40628085120 is a wasteful number, since it uses less digits than its factorization.

40628085120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59322 (or 59307 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 40628085120 in words is "forty billion, six hundred twenty-eight million, eighty-five thousand, one hundred twenty".