1011431091840 has 384 divisors, whose sum is σ = 3674767953600. Its totient is φ = 235862654976.

The previous prime is 1011431091823. The next prime is 1011431091841. The reversal of 1011431091840 is 481901341101.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (1011431091841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6083092 + ... + 6247148.

Almost surely, 2^{1011431091840} is an apocalyptic number.

1011431091840 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 1011431091840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837383976800).

1011431091840 is an abundant number, since it is smaller than the sum of its proper divisors (2663336861760).

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

1011431091840 is a wasteful number, since it uses less digits than its factorization.

1011431091840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164124 (or 164099 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The spelling of 1011431091840 in words is "one trillion, eleven billion, four hundred thirty-one million, ninety-one thousand, eight hundred forty".