1027225288416 has 96 divisors (see below), whose sum is σ = 2838666902400. Its totient is φ = 324354792960.

The previous prime is 1027225288393. The next prime is 1027225288457. The reversal of 1027225288416 is 6148825227201.

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

It is a super-2 number, since 2×1027225288416² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 24108411 + ... + 24150981.

It is an arithmetic number, because the mean of its divisors is an integer number (29569446900).

Almost surely, 2^{1027225288416} is an apocalyptic number.

1027225288416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1027225288416 is an abundant number, since it is smaller than the sum of its proper divisors (1811441613984).

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

1027225288416 is a wasteful number, since it uses less digits than its factorization.

1027225288416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55832 (or 55824 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The spelling of 1027225288416 in words is "one trillion, twenty-seven billion, two hundred twenty-five million, two hundred eighty-eight thousand, four hundred sixteen".