6428012040 has 128 divisors (see below), whose sum is σ = 21511008000. Its totient is φ = 1707393024.

The previous prime is 6428012033. The next prime is 6428012057. The reversal of 6428012040 is 402108246.

6428012040 is a `hidden beast` number, since 642 + 8 + 0 + 12 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 6428011995 and 6428012013.

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 31 ways as a sum of consecutive naturals, for example, 265981 + ... + 289139.

It is an arithmetic number, because the mean of its divisors is an integer number (168054750).

Almost surely, 2^6428012040 is an apocalyptic number.

6428012040 is a gapful number since it is divisible by the number (60) 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 6428012040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10755504000).

6428012040 is an abundant number, since it is smaller than the sum of its proper divisors (15082995960).

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

6428012040 is a wasteful number, since it uses less digits than its factorization.

6428012040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23436 (or 23426 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 6428012040 is about 80174.8840972034. The cubic root of 6428012040 is about 1859.3403488079.

The spelling of 6428012040 in words is "six billion, four hundred twenty-eight million, twelve thousand, forty".