42366551040 has 880 divisors, whose sum is σ = 170773251264. Its totient is φ = 9953280000.

The previous prime is 42366551039. The next prime is 42366551041. The reversal of 42366551040 is 4015566324.

42366551040 is a `hidden beast` number, since 4 + 2 + 3 + 66 + 551 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (42366551039) and next prime (42366551041).

It is a tau number, because it is divible by the number of its divisors (880).

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

It is a junction number, because it is equal to n+sod(n) for n = 42366550986 and 42366551004.

It is not an unprimeable number, because it can be changed into a prime (42366551041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 168790915 + ... + 168791165.

Almost surely, 2^42366551040 is an apocalyptic number.

42366551040 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 42366551040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85386625632).

42366551040 is an abundant number, since it is smaller than the sum of its proper divisors (128406700224).

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

42366551040 is a wasteful number, since it uses less digits than its factorization.

42366551040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 42366551040 in words is "forty-two billion, three hundred sixty-six million, five hundred fifty-one thousand, forty".