427412643840 has 1792 divisors, whose sum is σ = 1944696176640. Its totient is φ = 86633349120.

The previous prime is 427412643839. The next prime is 427412643851. The reversal of 427412643840 is 48346214724.

427412643840 is a `hidden beast` number, since 4 + 2 + 7 + 4 + 1 + 264 + 384 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a super-2 number, since 2×427412643840² (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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3119800252 + ... + 3119800388.

It is an arithmetic number, because the mean of its divisors is an integer number (1085209920).

Almost surely, 2^427412643840 is an apocalyptic number.

427412643840 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 427412643840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972348088320).

427412643840 is an abundant number, since it is smaller than the sum of its proper divisors (1517283532800).

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

427412643840 is a wasteful number, since it uses less digits than its factorization.

427412643840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 198 counting only the distinct ones).

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

The spelling of 427412643840 in words is "four hundred twenty-seven billion, four hundred twelve million, six hundred forty-three thousand, eight hundred forty".