1027848488040 has 256 divisors, whose sum is σ = 3858200985600. Its totient is φ = 241137388800.

The previous prime is 1027848488027. The next prime is 1027848488111. The reversal of 1027848488040 is 408848487201.

1027848488040 is a `hidden beast` number, since 10 + 2 + 78 + 48 + 488 + 0 + 40 = 666.

It is a super-4 number, since 4×1027848488040⁴ (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 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 63 ways as a sum of consecutive naturals, for example, 1027192 + ... + 1763751.

It is an arithmetic number, because the mean of its divisors is an integer number (15071097600).

Almost surely, 2^{1027848488040} is an apocalyptic number.

1027848488040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1027848488040 is an abundant number, since it is smaller than the sum of its proper divisors (2830352497560).

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

1027848488040 is a wasteful number, since it uses less digits than its factorization.

1027848488040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2791005 (or 2790995 counting only the distinct ones).

The product of its (nonzero) digits is 3670016, while the sum is 54.

The spelling of 1027848488040 in words is "one trillion, twenty-seven billion, eight hundred forty-eight million, four hundred eighty-eight thousand, forty".