1085138630400 has 432 divisors, whose sum is σ = 3933079516800. Its totient is φ = 261290803200.

The previous prime is 1085138630353. The next prime is 1085138630413. The reversal of 1085138630400 is 40368315801.

It is a super-3 number, since 3×1085138630400³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31451559 + ... + 31486041.

Almost surely, 2^{1085138630400} is an apocalyptic number.

1085138630400 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 1085138630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1966539758400).

1085138630400 is an abundant number, since it is smaller than the sum of its proper divisors (2847940886400).

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

1085138630400 is a wasteful number, since it uses less digits than its factorization.

1085138630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34672 (or 34653 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 1085138630400 in words is "one trillion, eighty-five billion, one hundred thirty-eight million, six hundred thirty thousand, four hundred".