427415035392 has 400 divisors, whose sum is σ = 1320546751920. Its totient is φ = 137543712768.

The previous prime is 427415035379. The next prime is 427415035423. The reversal of 427415035392 is 293530514724.

It is a happy number.

427415035392 is a `hidden beast` number, since 4 + 2 + 7 + 4 + 1 + 503 + 53 + 92 = 666.

It is a super-2 number, since 2×427415035392² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 158711998 + ... + 158714690.

Almost surely, 2^427415035392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427415035392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660273375960).

427415035392 is an abundant number, since it is smaller than the sum of its proper divisors (893131716528).

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

427415035392 is an equidigital number, since it uses as much as digits as its factorization.

427415035392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2855 (or 2830 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 427415035392 in words is "four hundred twenty-seven billion, four hundred fifteen million, thirty-five thousand, three hundred ninety-two".