407828877120 has 672 divisors, whose sum is σ = 1622745446400. Its totient is φ = 92087304192.

The previous prime is 407828877119. The next prime is 407828877121. The reversal of 407828877120 is 21778828704.

407828877120 is a `hidden beast` number, since 407 + 82 + 88 + 77 + 12 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (407828877119) and next prime (407828877121).

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407828877121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 851417041 + ... + 851417519.

Almost surely, 2^407828877120 is an apocalyptic number.

407828877120 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 407828877120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811372723200).

407828877120 is an abundant number, since it is smaller than the sum of its proper divisors (1214916569280).

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

407828877120 is a wasteful number, since it uses less digits than its factorization.

407828877120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 2809856, while the sum is 54.

The spelling of 407828877120 in words is "four hundred seven billion, eight hundred twenty-eight million, eight hundred seventy-seven thousand, one hundred twenty".