1824022031040 has 672 divisors, whose sum is σ = 7118591686080. Its totient is φ = 439331143680.

The previous prime is 1824022031033. The next prime is 1824022031101. The reversal of 1824022031040 is 401302204281.

1824022031040 is a `hidden beast` number, since 1 + 8 + 2 + 402 + 203 + 10 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1824022030995 and 1824022031013.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 164128524 + ... + 164139636.

It is an arithmetic number, because the mean of its divisors is an integer number (10593142390).

Almost surely, 2^{1824022031040} is an apocalyptic number.

1824022031040 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 1824022031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3559295843040).

1824022031040 is an abundant number, since it is smaller than the sum of its proper divisors (5294569655040).

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

1824022031040 is a wasteful number, since it uses less digits than its factorization.

1824022031040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11318 (or 11291 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 1824022031040 in words is "one trillion, eight hundred twenty-four billion, twenty-two million, thirty-one thousand, forty".