1090500924240 has 640 divisors, whose sum is σ = 4638103142400. Its totient is φ = 229331036160.

The previous prime is 1090500924169. The next prime is 1090500924259. The reversal of 1090500924240 is 424290050901.

1090500924240 is a `hidden beast` number, since 1 + 0 + 90 + 500 + 9 + 24 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1090500924195 and 1090500924204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61121241 + ... + 61139079.

It is an arithmetic number, because the mean of its divisors is an integer number (7247036160).

Almost surely, 2^{1090500924240} is an apocalyptic number.

1090500924240 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 1090500924240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2319051571200).

1090500924240 is an abundant number, since it is smaller than the sum of its proper divisors (3547602218160).

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

1090500924240 is a wasteful number, since it uses less digits than its factorization.

1090500924240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18192 (or 18180 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 1090500924240 in words is "one trillion, ninety billion, five hundred million, nine hundred twenty-four thousand, two hundred forty".