1017106988400 has 600 divisors, whose sum is σ = 3697373003280. Its totient is φ = 267753185280.

The previous prime is 1017106988393. The next prime is 1017106988413. The reversal of 1017106988400 is 48896017101.

It is a happy number.

1017106988400 is a `hidden beast` number, since 10 + 171 + 0 + 69 + 8 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1387594434 + ... + 1387595166.

Almost surely, 2^{1017106988400} is an apocalyptic number.

1017106988400 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 1017106988400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1848686501640).

1017106988400 is an abundant number, since it is smaller than the sum of its proper divisors (2680266014880).

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

1017106988400 is a wasteful number, since it uses less digits than its factorization.

1017106988400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 1017106988400 in words is "one trillion, seventeen billion, one hundred six million, nine hundred eighty-eight thousand, four hundred".