1865211095040 has 384 divisors, whose sum is σ = 6184488360960. Its totient is φ = 479408947200.

The previous prime is 1865211095023. The next prime is 1865211095107. The reversal of 1865211095040 is 405901125681.

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

It is a junction number, because it is equal to n+sod(n) for n = 1865211094983 and 1865211095001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244742430 + ... + 244750050.

It is an arithmetic number, because the mean of its divisors is an integer number (16105438440).

Almost surely, 2^{1865211095040} is an apocalyptic number.

1865211095040 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 1865211095040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3092244180480).

1865211095040 is an abundant number, since it is smaller than the sum of its proper divisors (4319277265920).

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

1865211095040 is a wasteful number, since it uses less digits than its factorization.

1865211095040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7939 (or 7919 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 42.

The spelling of 1865211095040 in words is "one trillion, eight hundred sixty-five billion, two hundred eleven million, ninety-five thousand, forty".