200834378257440 has 384 divisors, whose sum is σ = 688155524921088. Its totient is φ = 49028211671040.

The previous prime is 200834378257433. The next prime is 200834378257451. The reversal of 200834378257440 is 44752873438002.

It is a super-2 number, since 2×200834378257440² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1005595672 + ... + 1005795368.

It is an arithmetic number, because the mean of its divisors is an integer number (1792071679482).

Almost surely, 2^{200834378257440} is an apocalyptic number.

200834378257440 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 200834378257440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344077762460544).

200834378257440 is an abundant number, since it is smaller than the sum of its proper divisors (487321146663648).

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

200834378257440 is a wasteful number, since it uses less digits than its factorization.

200834378257440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203100 (or 203092 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 57.

The spelling of 200834378257440 in words is "two hundred trillion, eight hundred thirty-four billion, three hundred seventy-eight million, two hundred fifty-seven thousand, four hundred forty".