42440630400 has 1344 divisors, whose sum is σ = 189115931520. Its totient is φ = 9196830720.

The previous prime is 42440630389. The next prime is 42440630447. The reversal of 42440630400 is 403604424.

42440630400 is a `hidden beast` number, since 4 + 24 + 4 + 0 + 630 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-3 number, since 3×42440630400³ (a number of 33 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 375580744 + ... + 375580856.

Almost surely, 2^42440630400 is an apocalyptic number.

42440630400 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 42440630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94557965760).

42440630400 is an abundant number, since it is smaller than the sum of its proper divisors (146675301120).

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

42440630400 is a wasteful number, since it uses less digits than its factorization.

42440630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The spelling of 42440630400 in words is "forty-two billion, four hundred forty million, six hundred thirty thousand, four hundred".