101845090045440 has 960 divisors, whose sum is σ = 421152987340800. Its totient is φ = 22239221317632.

The previous prime is 101845090045381. The next prime is 101845090045469. The reversal of 101845090045440 is 44540090548101.

101845090045440 is a `hidden beast` number, since 1 + 0 + 1 + 84 + 5 + 0 + 90 + 0 + 45 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 3075109201 + ... + 3075142319.

It is an arithmetic number, because the mean of its divisors is an integer number (438701028480).

Almost surely, 2^{101845090045440} is an apocalyptic number.

101845090045440 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 101845090045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210576493670400).

101845090045440 is an abundant number, since it is smaller than the sum of its proper divisors (319307897295360).

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

101845090045440 is a wasteful number, since it uses less digits than its factorization.

101845090045440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34007 (or 33988 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 101845090045440 in words is "one hundred one trillion, eight hundred forty-five billion, ninety million, forty-five thousand, four hundred forty".