1008272214000 has 480 divisors, whose sum is σ = 3572874946368. Its totient is φ = 264971520000.

The previous prime is 1008272213983. The next prime is 1008272214013. The reversal of 1008272214000 is 4122728001.

1008272214000 is a `hidden beast` number, since 10 + 0 + 8 + 27 + 221 + 400 + 0 = 666.

1008272214000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1008272214000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 987533490 + ... + 987534510.

Almost surely, 2^{1008272214000} is an apocalyptic number.

1008272214000 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 1008272214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1786437473184).

1008272214000 is an abundant number, since it is smaller than the sum of its proper divisors (2564602732368).

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

1008272214000 is a wasteful number, since it uses less digits than its factorization.

1008272214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1794 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 1008272214000 in words is "one trillion, eight billion, two hundred seventy-two million, two hundred fourteen thousand".