42640414387200 has 792 divisors, whose sum is σ = 180500126582880. Its totient is φ = 9410288025600.

The previous prime is 42640414387169. The next prime is 42640414387201. The reversal of 42640414387200 is 278341404624.

42640414387200 is a `hidden beast` number, since 4 + 2 + 6 + 4 + 0 + 4 + 1 + 438 + 7 + 200 = 666.

It is a super-2 number, since 2×42640414387200² (a number of 28 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (42640414387201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46315360 + ... + 47227040.

Almost surely, 2^{42640414387200} is an apocalyptic number.

42640414387200 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 42640414387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90250063291440).

42640414387200 is an abundant number, since it is smaller than the sum of its proper divisors (137859712195680).

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

42640414387200 is a wasteful number, since it uses less digits than its factorization.

42640414387200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911753 (or 911727 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 42640414387200 in words is "forty-two trillion, six hundred forty billion, four hundred fourteen million, three hundred eighty-seven thousand, two hundred".