42528777984 has 1296 divisors, whose sum is σ = 171897456640. Its totient is φ = 9853747200.

The previous prime is 42528777961. The next prime is 42528777989. The reversal of 42528777984 is 48977782524.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42528777989) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 1149426414 + ... + 1149426450.

Almost surely, 2^42528777984 is an apocalyptic number.

42528777984 is a gapful number since it is divisible by the number (44) 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 42528777984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85948728320).

42528777984 is an abundant number, since it is smaller than the sum of its proper divisors (129368678656).

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

42528777984 is a wasteful number, since it uses less digits than its factorization.

42528777984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 110 counting only the distinct ones).

The product of its digits is 63221760, while the sum is 63.

The spelling of 42528777984 in words is "forty-two billion, five hundred twenty-eight million, seven hundred seventy-seven thousand, nine hundred eighty-four".