1011432879184 has 240 divisors, whose sum is σ = 2444984939520. Its totient is φ = 396868792320.

The previous prime is 1011432879161. The next prime is 1011432879199. The reversal of 1011432879184 is 4819782341101.

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, 2111550657 + ... + 2111551135.

It is an arithmetic number, because the mean of its divisors is an integer number (10187437248).

Almost surely, 2^{1011432879184} is an apocalyptic number.

1011432879184 is a gapful number since it is divisible by the number (14) 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 1011432879184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222492469760).

1011432879184 is an abundant number, since it is smaller than the sum of its proper divisors (1433552060336).

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

1011432879184 is a wasteful number, since it uses less digits than its factorization.

1011432879184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 49.

The spelling of 1011432879184 in words is "one trillion, eleven billion, four hundred thirty-two million, eight hundred seventy-nine thousand, one hundred eighty-four".