1427456016 has 240 divisors, whose sum is σ = 4876493440. Its totient is φ = 380712960.

The previous prime is 1427455999. The next prime is 1427456029. The reversal of 1427456016 is 6106547241.

1427456016 is a `hidden beast` number, since 1 + 4 + 2 + 7 + 45 + 601 + 6 = 666.

It is a super-2 number, since 2×1427456016² = 4075261355229184512, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1397586 + ... + 1398606.

Almost surely, 2^1427456016 is an apocalyptic number.

1427456016 is a gapful number since it is divisible by the number (16) 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 1427456016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2438246720).

1427456016 is an abundant number, since it is smaller than the sum of its proper divisors (3449037424).

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

1427456016 is a wasteful number, since it uses less digits than its factorization.

1427456016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1427456016 is about 37781.6888981951. The cubic root of 1427456016 is about 1125.9546835451.

The spelling of 1427456016 in words is "one billion, four hundred twenty-seven million, four hundred fifty-six thousand, sixteen".