1427925637008 has 300 divisors, whose sum is σ = 4574356428180. Its totient is φ = 427480187904.

The previous prime is 1427925636989. The next prime is 1427925637037. The reversal of 1427925637008 is 8007365297241.

It is a happy number.

1427925637008 is a `hidden beast` number, since 1 + 4 + 2 + 7 + 9 + 2 + 563 + 70 + 0 + 8 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 366959715984 + 1060965921024 = 605772^2 + 1030032^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 23033958 + ... + 23095866.

It is a 1-persistent number, because it is pandigital, but 2⋅1427925637008 = 2855851274016 is not.

Almost surely, 2^{1427925637008} is an apocalyptic number.

1427925637008 is a gapful number since it is divisible by the number (18) 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 1427925637008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2287178214090).

1427925637008 is an abundant number, since it is smaller than the sum of its proper divisors (3146430791172).

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

1427925637008 is a wasteful number, since it uses less digits than its factorization.

1427925637008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62016 (or 61964 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 1427925637008 in words is "one trillion, four hundred twenty-seven billion, nine hundred twenty-five million, six hundred thirty-seven thousand, eight".