427331399040 has 2592 divisors, whose sum is σ = 2038210724160. Its totient is φ = 82121195520.

The previous prime is 427331398999. The next prime is 427331399093. The reversal of 427331399040 is 40993133724.

427331399040 is a `hidden beast` number, since 427 + 3 + 3 + 139 + 90 + 4 + 0 = 666.

It is a super-2 number, since 2×427331399040² (a number of 24 digits) contains 22 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 13784883825 + ... + 13784883855.

It is an arithmetic number, because the mean of its divisors is an integer number (786346730).

Almost surely, 2^427331399040 is an apocalyptic number.

427331399040 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 427331399040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019105362080).

427331399040 is an abundant number, since it is smaller than the sum of its proper divisors (1610879325120).

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

427331399040 is a wasteful number, since it uses less digits than its factorization.

427331399040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 427331399040 in words is "four hundred twenty-seven billion, three hundred thirty-one million, three hundred ninety-nine thousand, forty".