1011107434032 has 180 divisors, whose sum is σ = 2966395919760. Its totient is φ = 321475385088.

The previous prime is 1011107433983. The next prime is 1011107434189. The reversal of 1011107434032 is 2304347011101.

1011107434032 is a `hidden beast` number, since 101 + 110 + 7 + 43 + 403 + 2 = 666.

1011107434032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1011107433987 and 1011107434005.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27328698 + ... + 27365670.

It is an arithmetic number, because the mean of its divisors is an integer number (16479977332).

Almost surely, 2^{1011107434032} is an apocalyptic number.

1011107434032 is a gapful number since it is divisible by the number (12) 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 1011107434032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483197959880).

1011107434032 is an abundant number, since it is smaller than the sum of its proper divisors (1955288485728).

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

1011107434032 is a wasteful number, since it uses less digits than its factorization.

1011107434032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37392 (or 37360 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 1011107434032 in words is "one trillion, eleven billion, one hundred seven million, four hundred thirty-four thousand, thirty-two".