2040866150400 has 3240 divisors, whose sum is σ = 9781529137380. Its totient is φ = 418966732800.

The previous prime is 2040866150377. The next prime is 2040866150441. The reversal of 2040866150400 is 40516680402.

2040866150400 is a `hidden beast` number, since 2 + 0 + 40 + 8 + 66 + 150 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 24588748759 + ... + 24588748841.

Almost surely, 2^{2040866150400} is an apocalyptic number.

2040866150400 is a gapful number since it is divisible by the number (20) 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 2040866150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4890764568690).

2040866150400 is an abundant number, since it is smaller than the sum of its proper divisors (7740662986980).

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

2040866150400 is a wasteful number, since it uses less digits than its factorization.

2040866150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 2040866150400 in words is "two trillion, forty billion, eight hundred sixty-six million, one hundred fifty thousand, four hundred".