1427585214240 has 144 divisors (see below), whose sum is σ = 4963552441848. Its totient is φ = 373506551808.

The previous prime is 1427585214199. The next prime is 1427585214269. The reversal of 1427585214240 is 424125857241.

1427585214240 is a `hidden beast` number, since 1 + 4 + 2 + 7 + 585 + 21 + 4 + 2 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1426868474256 + 716739984 = 1194516^2 + 26772^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9276309 + ... + 9428948.

Almost surely, 2^{1427585214240} is an apocalyptic number.

1427585214240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1427585214240 is an abundant number, since it is smaller than the sum of its proper divisors (3535967227608).

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

1427585214240 is a wasteful number, since it uses less digits than its factorization.

1427585214240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18705331 (or 18705320 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 1427585214240 in words is "one trillion, four hundred twenty-seven billion, five hundred eighty-five million, two hundred fourteen thousand, two hundred forty".