427884042240 has 1008 divisors, whose sum is σ = 1626769085760. Its totient is φ = 107853742080.

The previous prime is 427884042133. The next prime is 427884042323. The reversal of 427884042240 is 42240488724.

427884042240 is a `hidden beast` number, since 42 + 78 + 84 + 0 + 422 + 40 = 666.

It is a super-3 number, since 3×427884042240³ (a number of 36 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 9950791659 + ... + 9950791701.

It is an arithmetic number, because the mean of its divisors is an integer number (1613858220).

Almost surely, 2^427884042240 is an apocalyptic number.

427884042240 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 427884042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813384542880).

427884042240 is an abundant number, since it is smaller than the sum of its proper divisors (1198885043520).

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

427884042240 is an frugal number, since it uses more digits than its factorization.

427884042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 917504, while the sum is 45.

The spelling of 427884042240 in words is "four hundred twenty-seven billion, eight hundred eighty-four million, forty-two thousand, two hundred forty".