427671090000 has 1000 divisors, whose sum is σ = 1928709465408. Its totient is φ = 88853760000.

The previous prime is 427671089987. The next prime is 427671090013. The reversal of 427671090000 is 90176724.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (427671089987) and next prime (427671090013).

It is a tau number, because it is divible by the number of its divisors (1000).

It is a super-2 number, since 2×427671090000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 62366572 + ... + 62373428.

Almost surely, 2^427671090000 is an apocalyptic number.

427671090000 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 427671090000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964354732704).

427671090000 is an abundant number, since it is smaller than the sum of its proper divisors (1501038375408).

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

427671090000 is a wasteful number, since it uses less digits than its factorization.

427671090000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6915 (or 6885 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 427671090000 in words is "four hundred twenty-seven billion, six hundred seventy-one million, ninety thousand".