40428776868480 has 2304 divisors, whose sum is σ = 195865734355200. Its totient is φ = 7754242129920.

The previous prime is 40428776868479. The next prime is 40428776868497. The reversal of 40428776868480 is 8486867782404.

It is a happy number.

40428776868480 is a `hidden beast` number, since 4 + 0 + 4 + 2 + 87 + 7 + 6 + 8 + 68 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 40428776868399 and 40428776868408.

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 287 ways as a sum of consecutive naturals, for example, 1712418916 + ... + 1712442524.

It is an arithmetic number, because the mean of its divisors is an integer number (85011169425).

Almost surely, 2^{40428776868480} is an apocalyptic number.

40428776868480 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 40428776868480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97932867177600).

40428776868480 is an abundant number, since it is smaller than the sum of its proper divisors (155436957486720).

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

40428776868480 is a wasteful number, since it uses less digits than its factorization.

40428776868480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23685 (or 23650 counting only the distinct ones).

The product of its (nonzero) digits is 924844032, while the sum is 72.

The spelling of 40428776868480 in words is "forty trillion, four hundred twenty-eight billion, seven hundred seventy-six million, eight hundred sixty-eight thousand, four hundred eighty".