1028977271040 has 288 divisors, whose sum is σ = 3314628366336. Its totient is φ = 272038912000.

The previous prime is 1028977270961. The next prime is 1028977271071. The reversal of 1028977271040 is 401727798201.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218789329 + ... + 218794031.

It is an arithmetic number, because the mean of its divisors is an integer number (11509126272).

Almost surely, 2^{1028977271040} is an apocalyptic number.

1028977271040 is a gapful number since it is divisible by the number (10) 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 1028977271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657314183168).

1028977271040 is an abundant number, since it is smaller than the sum of its proper divisors (2285651095296).

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

1028977271040 is a wasteful number, since it uses less digits than its factorization.

1028977271040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5205 (or 5191 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 48.

The spelling of 1028977271040 in words is "one trillion, twenty-eight billion, nine hundred seventy-seven million, two hundred seventy-one thousand, forty".