1071084218400 has 648 divisors, whose sum is σ = 4624817586480. Its totient is φ = 231932574720.

The previous prime is 1071084218387. The next prime is 1071084218417. The reversal of 1071084218400 is 48124801701.

1071084218400 is a `hidden beast` number, since 107 + 108 + 42 + 1 + 8 + 400 = 666.

It is a super-2 number, since 2×1071084218400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6623307 + ... + 6783093.

Almost surely, 2^{1071084218400} is an apocalyptic number.

1071084218400 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 1071084218400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2312408793240).

1071084218400 is an abundant number, since it is smaller than the sum of its proper divisors (3553733368080).

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

1071084218400 is a wasteful number, since it uses less digits than its factorization.

1071084218400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159846 (or 159823 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 1071084218400 in words is "one trillion, seventy-one billion, eighty-four million, two hundred eighteen thousand, four hundred".