1027391941152 has 96 divisors (see below), whose sum is σ = 2997008683200. Its totient is φ = 342412683264.

The previous prime is 1027391941133. The next prime is 1027391941181. The reversal of 1027391941152 is 2511491937201.

1027391941152 is a `hidden beast` number, since 1 + 0 + 27 + 391 + 94 + 1 + 152 = 666.

1027391941152 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 1027391941098 and 1027391941107.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5916624 + ... + 6087792.

It is an arithmetic number, because the mean of its divisors is an integer number (31218840450).

Almost surely, 2^{1027391941152} is an apocalyptic number.

1027391941152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1027391941152 is an abundant number, since it is smaller than the sum of its proper divisors (1969616742048).

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

1027391941152 is a wasteful number, since it uses less digits than its factorization.

1027391941152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178135 (or 178121 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 1027391941152 in words is "one trillion, twenty-seven billion, three hundred ninety-one million, nine hundred forty-one thousand, one hundred fifty-two".