42403032576 has 320 divisors, whose sum is σ = 131842275840. Its totient is φ = 13430292480.

The previous prime is 42403032569. The next prime is 42403032649. The reversal of 42403032576 is 67523030424.

42403032576 is a `hidden beast` number, since 4 + 24 + 0 + 30 + 32 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 42403032576.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61364391 + ... + 61365081.

It is an arithmetic number, because the mean of its divisors is an integer number (412007112).

Almost surely, 2^42403032576 is an apocalyptic number.

42403032576 is a gapful number since it is divisible by the number (46) 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 42403032576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65921137920).

42403032576 is an abundant number, since it is smaller than the sum of its proper divisors (89439243264).

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

42403032576 is a wasteful number, since it uses less digits than its factorization.

42403032576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 42403032576 in words is "forty-two billion, four hundred three million, thirty-two thousand, five hundred seventy-six".