42633995040 has 864 divisors, whose sum is σ = 186470968320. Its totient is φ = 8675057664.

The previous prime is 42633995039. The next prime is 42633995083. The reversal of 42633995040 is 4059933624.

42633995040 is a `hidden beast` number, since 4 + 2 + 633 + 9 + 9 + 5 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 49401649 + ... + 49402511.

It is an arithmetic number, because the mean of its divisors is an integer number (215822880).

Almost surely, 2^42633995040 is an apocalyptic number.

42633995040 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 42633995040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93235484160).

42633995040 is an abundant number, since it is smaller than the sum of its proper divisors (143836973280).

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

42633995040 is a wasteful number, since it uses less digits than its factorization.

42633995040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 42633995040 in words is "forty-two billion, six hundred thirty-three million, nine hundred ninety-five thousand, forty".