1831520075440 has 80 divisors (see below), whose sum is σ = 4650157861920. Its totient is φ = 665325301760.

The previous prime is 1831520075431. The next prime is 1831520075449. The reversal of 1831520075440 is 445700251381.

It is an interprime number because it is at equal distance from previous prime (1831520075431) and next prime (1831520075449).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1831520075393 and 1831520075402.

It is not an unprimeable number, because it can be changed into a prime (1831520075449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205375 + ... + 1924894.

It is an arithmetic number, because the mean of its divisors is an integer number (58126973274).

Almost surely, 2^{1831520075440} is an apocalyptic number.

1831520075440 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 1831520075440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2325078930960).

1831520075440 is an abundant number, since it is smaller than the sum of its proper divisors (2818637786480).

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

1831520075440 is a wasteful number, since it uses less digits than its factorization.

1831520075440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131270 (or 2131264 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The spelling of 1831520075440 in words is "one trillion, eight hundred thirty-one billion, five hundred twenty million, seventy-five thousand, four hundred forty".